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Tytuł:
R-Countability Axioms
Autorzy:
Kornas, Amel Emhemed
Arwini, Khadiga Ali
Powiązania:
https://bibliotekanauki.pl/articles/1031873.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
-compact spaces
Opis:
In this article, we use the concept of regular open sets to define a generalization of the countability axioms; namely regular countability axioms, and they are denoted by r-countability axioms. This class of axioms includes r-separable spaces, r-first countable spaces, r-Lindelöf spaces, r--compact spaces and r-second countable spaces. We investigate their fundamental properties, and study the implication of the new axioms among themselves and with the known axioms. Moreover, we study the hereditary properties for r-countability axioms, also we consider some related functions in terms of r-open sets, which preserve these spaces. Finally, we prove that in regular space r-countability axioms and countability axioms are equivalent, while in locally compact T_2 space, the spaces: Lindelöf, r- Lindelöf, -compact and r--compact are all equivalent.
Źródło:
World Scientific News; 2020, 149; 92-109
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
D-countability axioms
Autorzy:
Arwini, Khadiga Ali
Kornas, Amel Emhemed
Powiązania:
https://bibliotekanauki.pl/articles/1030137.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
-compact spaces
Opis:
In this paper, we introduce new axioms using the concepts of the countability axioms via dense sets, namely dense countability axioms and they are denoted by D-countability axioms, where a topological space is called D-sequential (D-separable, D-first countable, D-Lindelöf, D--compact or D-second countable) space if it has a dense sequential (separable, first countable, Lindelöf, -compact or second countable) subspace. We prove that D-separable spaces and D-second countable spaces are equivalent to separable spaces. Moreover, we study some properties of D-countability axioms; as their subspaces and their continuous images. In addition, we provide some inter-relations between D-countability axioms and countability axioms through some examples.
Źródło:
World Scientific News; 2020, 143; 28-38
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
C-compactness Via Grills
Autorzy:
Gupta, M. K.
Gaur, Monika
Powiązania:
https://bibliotekanauki.pl/articles/1159576.pdf
Data publikacji:
2018
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
C-compact
G-compact
Grill
Quasi-H-closed
Opis:
In the present paper, we study C-compactness with respect to a grill, which simultaneously generalizes C-compactness and G-compactness and term it as C(G)-compact space. Several of its properties are investigated and effects of various kinds of functions on them are studied.
Źródło:
World Scientific News; 2018, 113; 130-137
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Continuous images and other topological properties of Valdivia compacta
Autorzy:
Kalenda, Ondřej
Powiązania:
https://bibliotekanauki.pl/articles/1205183.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Corson compact space
Valdivia compact space
countably compact space
Fréchet-Urysohn space
continuous image
Opis:
We study topological properties of Valdivia compact spaces. We prove in particular that a compact Hausdorff space K is Corson provided each continuous image of K is a Valdivia compactum. This answers a question of M. Valdivia (1997). We also prove that the class of Valdivia compacta is stable with respect to arbitrary products and we give a generalization of the fact that Corson compacta are angelic.
Źródło:
Fundamenta Mathematicae; 1999, 162, 2; 181-192
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some Algebra Ideals Of Regular Operators
Autorzy:
Bayram, Erdal Bayram
Wnuk, Witold
Powiązania:
https://bibliotekanauki.pl/articles/744951.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
L-weakly compact operator, M-weakly compact operator, order continuous norm
Opis:
We investigate relationships joining the order continuity of a norm in a Banach lattice and some composition properties of L-weakly and M-weakly compact operators. Our results improve Proposition 3.6.16 from [5].
Źródło:
Commentationes Mathematicae; 2013, 53, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On sequential convergence in weakly compact subsets of Banach spaces
Autorzy:
Marciszewski, Witold
Powiązania:
https://bibliotekanauki.pl/articles/1289924.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Banach space
weakly compact set
uniform Eberlein compact space
bisequential space
Opis:
We construct an example of a Banach space E such that every weakly compact subset of E is bisequential and E contains a weakly compact subset which cannot be embedded in a Hilbert space equipped with the weak topology. This answers a question of Nyikos.
Źródło:
Studia Mathematica; 1994-1995, 112, 2; 189-194
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Factorization of operators on C*-algebras
Autorzy:
Randrianantoanina, Narcisse
Powiązania:
https://bibliotekanauki.pl/articles/1218549.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
C*-algebras
compact operators
Opis:
Let A be a C*-algebra. We prove that every absolutely summing operator from A into $ℓ_2$ factors through a Hilbert space operator that belongs to the 4-Schatten-von Neumann class. We also provide finite-dimensional examples that show that one cannot replace the 4-Schatten-von Neumann class by the p-Schatten-von Neumann class for any p < 4. As an application, we show that there exists a modulus of capacity ε → N(ε) so that if A is a C*-algebra and $T ∈ Π_1(A,ℓ_2)$ with $π_1(T) ≤ 1$, then for every ε >0, the ε-capacity of the image of the unit ball of A under T does not exceed N(ε). This answers positively a question raised by Pełczyński.
Źródło:
Studia Mathematica; 1998, 128, 3; 273-285
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Topological realization of a family of pseudoreflection groups
Autorzy:
Notbohm, Dietrich
Powiązania:
https://bibliotekanauki.pl/articles/1205400.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
pseudoreflection groups
p-compact group
classifying spaces
compact Lie group
polynomial algebra
Opis:
We are interested in a topological realization of a family of pseudoreflection groups $G ⊂ GL(n,{\sym F}_p )$; i.e. we are looking for topological spaces whose mod-p cohomology is isomorphic to the ring of invariants ${\sym F}_p [x_1,..., x_n]^G$. Spaces of this type give partial answers to a problem of Steenrod, namely which polynomial algebras over ${\sym F}_p $ can appear as the mod-p cohomology of a space. The family under consideration is given by pseudoreflection groups which are subgroups of the wreath product $ℤ/q ≀Σ_n$ where q divides p - 1 and where p is odd. Let G be such a subgroup acting on the polynomial algebra $A:= {\sym F}_p [x_1,..., x_n]$. We show that there exists a space X such that $H*(X;{\sym F}_p )≅ A^G$ which is again a polynomial algebra. Examples of polynomial algebras of this form are given by the mod-p cohomology of the classifying spaces of special orthogonal groups or of symplectic groups.
 The construction uses products of classifying spaces of unitary groups as building blocks which are glued together via information encoded in a full subcategory of the orbit category of the group G. Using this construction we also show that the homotopy type of the p-adic completion of these spaces is completely determined by the mod-p cohomology considered as an algebra over the Steenrod algebra. Moreover, we calculate the set of homotopy classes of self maps of the completed spaces.
Źródło:
Fundamenta Mathematicae; 1998, 155, 1; 1-31
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of compact separators in development of nonconventional gas reservoirs
Autorzy:
Cepil, M.
Rybicki, C.
Powiązania:
https://bibliotekanauki.pl/articles/299137.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
compact separators
nonconventional gas reservoirs
Opis:
The installation to the collection and transport of gas in case of the evil conventional occupies a great many places. When we are meeting variable factors in time e.g. with the efficiency this we are in a position to propose installations smaller and divided into modules which in case of the reduction of the quantity of extracted gas would be able to to be deducted in the easy way or augmented of the existing installation. Economic aspects engaged searches of more effective installations to the cleaning and the drainage of gas. Already from the early 90s of the 20th century, the oil industry sacrificed many attention to methods of the separation. This permitted the discovery of such separators as Gas/Liquid Cylindrical-Cyclone (GLCC). In comparison with conventional, compact separators are easy in the installation and the service, require the small maintenance. The simplicity of the construction, smaller measurements and the balance GLCC provides savings of costs. In the paper authors will review solutions of compact separators and also the preliminary adaptation and the definition of measurements for given parameters of technological exploited of natural gas reservoirs.
Źródło:
AGH Drilling, Oil, Gas; 2016, 33, 2; 549-559
2299-4157
2300-7052
Pojawia się w:
AGH Drilling, Oil, Gas
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of the reiterated homogenization to determination of the effective moduli of compact bone
Autorzy:
Telega, J.J.
Gałka, A.
Tokarzewski, S.
Powiązania:
https://bibliotekanauki.pl/articles/280146.pdf
Data publikacji:
1999
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
compact bone
homogenization
reiterated homogenization
Opis:
The aim of the paper is twofold. First, the available results of finding the effective macroscopic elastic moduli of a compact bone by using homogenization are surveyed. Secondly, it is shown that the proper framework for studying such organic materials with hierarchical microstructure is that of reiterated homogenization. T-convergance theory is applied to obtain the general formulae for the effective elastic moduli of a material with three structural levels.
Cel pracy jest dwojaki: po pierwsze, przedstawiono podsumowanie dotychczasowych badań dotyczących wyznaczania współczynników sprężystości kości zbitej przy zastosowaniu metod homogenizacji. Po drugie, wykazano, że homogenizacja reiterowana stanowi odpowiednie narzędzie do badania takich materiałów organicznych o hierarchicznej mikrostrukturze. Zastosowano teorię T-zbieżności do wyprowadzenia ogólnych zależności opisujących efektywne współczynniki sprężyste materiału o trzech poziomach strukturalnych.
Źródło:
Journal of Theoretical and Applied Mechanics; 1999, 3; 687-706
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Influence of the compact explicit filtering method on the perturbations growth in temporal shear-layer flow
Wpływ jawnej filtracji metodą kompactową na wzrost zaburzeń w nieustalonym przepływie z warstwą ścinającą
Autorzy:
Tyliszczak, A.
Powiązania:
https://bibliotekanauki.pl/articles/281098.pdf
Data publikacji:
2003
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
compact scheme
filtering
aliasing removal
Opis:
In this paper the effect of the explicit filtering of high frequency phenomena performed by means of the high order compact filters is presented. A 2D unsteady incompressible flow in which the perturbations super-imposed on the mean velocity profile evolve in time is considered. The dependence of the amplitudes of disturbances is analysed for various filtering procedures and compared with other methods intended to remove high frequency waves.
W pracy przedstawiono efektywność jawnej filtracji zjawisk wysokoczęstotliwościowych przy zastosowaniu filtracji kompaktowej. Analizie poddano nieściśliwy dwuwymiarowy przepływ z warstwą ścinającą w którym rozpatrywano ewolucję zaburzeń nałożonych na pole prędkości średniej. Przedstawiono porównania wartości amplitud zaburzeń obliczonych przy zastosowaniu różnych procedur filtracji oraz dla innych metod stosowanych do eliminowania zjawisk wysokoczęstotliwościowych.
Źródło:
Journal of Theoretical and Applied Mechanics; 2003, 41, 1; 19-32
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Tightness and π-character in centered spaces
Autorzy:
Bell, Murray
Powiązania:
https://bibliotekanauki.pl/articles/965960.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
centered
tightness
compact
π-character
Opis:
We continue an investigation into centered spaces, a generalization of dyadic spaces. The presence of large Cantor cubes in centered spaces is deduced from tightness considerations. It follows that for centered spaces X, πχ(X) = t(X), and if X has uncountable tightness, then t(X) = sup{κ : $2^κ$ ⊂ X}. The relationships between 9 popular cardinal functions for the class of centered spaces are justified. An example is constructed which shows, unlike the dyadic and polyadic properties, that the centered property is not preserved by passage to a zeroset.
Źródło:
Colloquium Mathematicum; 1999, 80, 2; 297-307
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
European Fiscal Compact as a spur for governments to maintain sound and sustainable public finances
Autorzy:
Rychlewska, Aleksandra
Hotel, Marcin
Marek, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/478563.pdf
Data publikacji:
2013
Wydawca:
Europejskie Stowarzyszenie Studentów Prawa ELSA Poland
Tematy:
European Fiscal Compact
public finances
Opis:
Talking about the economic crisis in Europe, the so called ‘European sovereign debt crisis’ (also referred as the Eurozone crisis) is an ongoing problem which most Member States of the EuropeanUnion (further referred as the EU) have been dealing with. Resulted from a combination of complex factors, it is claimed that the landmark – apart from easy credit conditions in a period of 2002–2008 that encouraged high-risk lending and borrowing practices – was the monetary union among the Eurozone without the fiscal one.1 While the setting of central bank interest rates and monetary easing was determined by the European Central Bank, taxation and government spending remained mostly under the control of national governments. Despite the fact that in 1992 Members of the EU signed the Maastricht Treaty pledging to limit their deficit spending and debt levels, the very idea to let the EU coordinate the fiscal policies of Member States conceived in the late 1990s. Notwithstanding, the Stability and Growth Pact2 – an agreement reached in order to facilitate and maintain the stability of the Economic and Monetary Union (EMU), has occurred to be unenforceable instrument and has not prevented the financial crisis among the Eurozone. What was said to cure the crisis, was – according to the abovementioned - the stricter fiscal regulation. This paper intends to shed some light on the issue.
Źródło:
Przegląd Prawniczy Europejskiego Stowarzyszenia Studentów Prawa ELSA Poland; 2013, 1; 41-46
2299-8055
Pojawia się w:
Przegląd Prawniczy Europejskiego Stowarzyszenia Studentów Prawa ELSA Poland
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sets in the ranges of nonlinear accretive operators in Banach spaces
Autorzy:
Kartsatos, Athanassios G.
Powiązania:
https://bibliotekanauki.pl/articles/1289125.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
accretive operator
m-accretive operator
compact perturbations
compact resolvents
Leray-Schauder boundary condition
mapping theorems
Opis:
Let X be a real Banach space and G ⊂ X open and bounded. Assume that one of the following conditions is satisfied: (i) X* is uniformly convex and T:Ḡ→ X is demicontinuous and accretive; (ii) T:Ḡ→ X is continuous and accretive; (iii) T:X ⊃ D(T)→ X is m-accretive and Ḡ ⊂ D(T). Assume, further, that M ⊂ X is pathwise connected and such that M ∩ TG ≠ ∅ and $M ∩ \overline{T(∂ G)} = ∅$. Then $M ⊂ \overline{TG}$. If, moreover, Case (i) or (ii) holds and T is of type $(S_1)$, or Case (iii) holds and T is of type $(S_2)$, then M ⊂ TG. Various results of Morales, Reich and Torrejón, and the author are improved and/or extended.
Źródło:
Studia Mathematica; 1995, 114, 3; 261-273
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Opinia na temat Traktatu o stabilności, koordynacji i zarządzaniu w Unii Gospodarczej i Walutowej, w tym jego relacji z innymi dokumentami poświęconymi zarządzaniu gospodarczemu w Unii Europejskiej
Legal opinion on Treaty on Stability, Coordination and Governance in the Economic and Monetary Union including its relation with other documents concerning economic governance in the European Union
Autorzy:
Nowak‑Far, Artur
Powiązania:
https://bibliotekanauki.pl/articles/16539495.pdf
Data publikacji:
2012
Wydawca:
Kancelaria Sejmu. Biuro Analiz Sejmowych
Tematy:
the fiscal compact
European Union
budget
Opis:
The Fiscal Treaty (FT) does not contain provisions which significantly modify (in both formal and praxiological sense of this term) fundamental arrangements pertaining to the economic governance in the European Union (and the EMU). Rather, it augments the arrangements already present in EU legal order. The most important material modifications introduced by the FT include: (a) a new formula for the equalization of public budget balances – essentially invoking the CBS (close‑to‑balance‑or suprlus) rule – but with some relaxing arrangements similar to that applied in the Six-pack; (b) making the signatory parties obligated to introduce in their legal systems rules of budgetary discipline – either at the constitutional level, or at any lower level provided, however, that the legal vehicles used to achieve this are not subject to easy change; (c) setting forth an obligation of multilateral, ex ante reciprocal information-sharing with regard to any planned public debt issue. The FT, although itself not being a part of the EU legal order, invokes the that very order thus significantly undermining its intergovernmental character. The new arrangement is also relatively open to non-euro zone EU Member States. As a result, FT does not undermine or weaken the EU legal and institutional order. Instead, it provides for elasticity achievable under the circumstances where not all EU Member States supported the idea the FT realizes.
Źródło:
Zeszyty Prawnicze BAS; 2012, 1(33); 102-122
1896-9852
2082-064X
Pojawia się w:
Zeszyty Prawnicze BAS
Dostawca treści:
Biblioteka Nauki
Artykuł

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