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Wyświetlanie 1-15 z 26
Tytuł:
Topological Properties and Methodology of Research of Complex Logistic Systems Efficiency
Autorzy:
Zhivitskaya, H.
Powiązania:
https://bibliotekanauki.pl/articles/410654.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
logistic system
logistical complexes
topological space
set members
structure
Opis:
It is indicated that sets of elements of complex logistic system, their parameters, numerical values, properties and finally – structures of complex logistic system, are topological spaces between which properties of homeomorphism can exist, that allows to apply mathematical apparatus of the theory of topology at the solution of a number of tasks. The general principles of an estimation of efficiency of functioning of logistical complexes on the basis of modeling with the account of hierarchical construction and influence of the human factor are considered.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2014, 3, 3; 23-32
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilizers on \(L\)-algebras
Autorzy:
Rezaei, Gholam Reza
Aaly Kologani, Mona
Powiązania:
https://bibliotekanauki.pl/articles/43184447.pdf
Data publikacji:
2024
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
\(L\)-algebra
stabilizer
ideal
co-anihiliators
Baire space
topological space
Opis:
The main goal of this paper is to introduce the notion of stabilizers in \(L\)-algebras and develop stabilizer theory in \(L\)-algebras. In this paper, we introduced the notions of left and right stabilizers and investigated some related properties of them. Then, we discussed the relations among stabilizers, ideal and co-annihilators. Also, we obtained that the set of all ideals of a \(CKL\)-algebra forms a relative pseudo-complemented lattice. In addition, we proved that right stabilizers in \(CKL\)-algebra are ideals. Then by using the right stabilizers we produced a basis for a topology on \(L\)-algebra. We showed that the generated topology by this basis is Baire, connected, locally connected and separable and we investigated the other properties of this topology.
Źródło:
Bulletin of the Section of Logic; 2024, 53, 1; 105-124
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
About the ways of defining connected sets in the topological spaces
Autorzy:
Domańska, K.
Wróbel, M.
Powiązania:
https://bibliotekanauki.pl/articles/122078.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
przestrzeń topologiczna
przestrzeń metryczna
topologia podprzestrzeni
topological space
metric space
subspace topology
Opis:
A topological space is called connected if it is not the union of two disjoint, nonempty and open sets in this space. The standard exercises show that here the concept of open sets can be replaced by closed sets or separated sets. In this context we will discuss the definition of connected sets in topological spaces, not being the whole space with particular regard to metric spaces, without the term of subspace topology.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2016, 21; 11-16
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On orthogonally additive injections and surjections
Autorzy:
Baron, Karol
Powiązania:
https://bibliotekanauki.pl/articles/746346.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
orthogonal additivity
inner product space
linear topological space
Tychonoff topology
dense set
Opis:
Let \(E\) be a real inner product space of dimension at least 2 and \(V\) a linear topological Hausdorff space. If \(\operatorname{card}E\leq \operatorname{card} V\), then the set of all orthogonally additive injections mapping \(E\) into \(V\) is dense in the space of all orthogonally additive functions from \(E\) into \(V\) with the Tychonoff topology. If \(\operatorname{card}V\leq \operatorname{card}E\), then the set of all orthogonally additive surjections mapping \(E\) into \(V\) is dense in the space of all orthogonally additive functions from \(E\) into \(V\) with the Tychonoff topology.
Źródło:
Commentationes Mathematicae; 2015, 55, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On local Whitney convergence
Autorzy:
Kowalczyk, S.
Powiązania:
https://bibliotekanauki.pl/articles/121911.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
przestrzeń topologiczna
przestrzeń metryczna
funkcja ciągła
konwergencja
topological space
metric space
continuous function
convergence
Opis:
In this paper we will give definitions of local Whitney convergence in F(X,Y ) and in C(X,Y ), where X is a topological space, (Y,d) is a metric space and F(X,Y ) is the space of all functions from X to Y and C(X,Y ) is the space of all continuous functions from X to Y . We will study some properties of this notion and connections with other kinds of convergence.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2012, 17; 57-68
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On cluster sets of connected functions
Autorzy:
Jędrzejewski, J.
Powiązania:
https://bibliotekanauki.pl/articles/121665.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
funkcje matematyczne
przestrzeń topologiczna
topologia ogólna
mathematical function
topological space
general topology
Opis:
In the article we discuss some properties of a few classes of connected functions and cluster sets of functions from those classes.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2009, 14; 51-61
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Continuity of superquadratic set-valued functions
Autorzy:
Troczka-Pawelec, K.
Powiązania:
https://bibliotekanauki.pl/articles/122038.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
grupy topologiczne
przestrzeń wektorowa
topologiczna przestrzeń wektorowa
topological groups
vector space
topological vector space
Opis:
Let X = (X,+) be an arbitrary topological group. The aim of the paper is to prove a regularity theorem for set-valued superquadratic functions, that is solutions of the inclusion 2F(s) + 2F(t) ⊂ F(s + t) + F(s − t), s, t ∈ X, with values in a topological vector space.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2012, 17; 77-86
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the quasi-uniform convergence
Autorzy:
Drozdowski, R.
Jędrzejewski, J.
Sochaczewska, A.
Powiązania:
https://bibliotekanauki.pl/articles/121971.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
convergence
sequence of functions
topological space
uniform convergence
konwergencja
sekwencje funkcyjne
przestrzeń topologiczna
jednolita konwergencja
Opis:
Arzelá [1] considered the weaker form of uniform convergence which is as good as uniform convergence of sequences of functions in respect to continuity of the limit of a sequence of continuous functions. Some generalization of such convergence can be found in [5]. Similar kinds of convergence of function sequences were considered in [3] and [4]. In our article we generalize those kinds of convergence for functions defined in a topological space with values in a topological space. In the article we use terminology which is explained in Engelking's monograph “General Topology” [2]. Among others, we use the notion of a star with respect to an open over. If X is a topological space and α is a cover of this space, then the star St(x, α) of a point x ϵ X with respect to the cover α is defined as the union of all the sets from α which contain the point x, i.e. [wzór].
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2011, 16; 19-22
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the boundedness of sets in Musielak-Orlicz spaces
Autorzy:
Shragin, Isaac V.
Powiązania:
https://bibliotekanauki.pl/articles/745827.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
bounded set in topological vector space, F-norm, gen-~function, Musielak-Orlicz space, right space
Opis:
The notions of metrical and topological vector boundedness of sets are considered in Musielak-Orlicz spaces. The space is called right if both these notions are equivalent. Necessary conditions of the rightness are established, and certain sufficient conditions are found.
Źródło:
Commentationes Mathematicae; 2013, 53, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Dugundji extension theorem and extension degree
Autorzy:
Eda, Katsuya
Powiązania:
https://bibliotekanauki.pl/articles/967053.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
local convexity
extension degree
Graev extension
Dugundji extension theorem
topological linear space
Źródło:
Colloquium Mathematicum; 1995, 68, 1; 25-38
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Diagonal conditions in ordered spaces
Autorzy:
Bennett, Harold
Lutzer, David
Powiązania:
https://bibliotekanauki.pl/articles/1205428.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
H-diagonal
small diagonal
linearly ordered topological space
generalized ordered space
cardinal invariant, metrizability
paracompact space
Čech-complete space
p-space, Michael line
Sorgenfrey line
σ-disjoint base
Opis:
For a space X and a regular uncountable cardinal κ ≤ |X| we say that κ ∈ D(X) if for each $T ⊂ {X^2} - Δ(X)$ with |T| = κ, there is an open neighborhood W of Δ(X) such that |T - W| = κ. If $ω_1 ∈ D(X)$ then we say that X has a small diagonal, and if every regular uncountable κ ≤ |X| belongs to D(X) then we say that X has an H-diagonal. In this paper we investigate the interplay between D(X) and topological properties of X in the category of generalized ordered spaces. We obtain cardinal invariant theorems and metrization theorems for such spaces, proving, for example, that a Lindelöf linearly ordered space with a small diagonal is metrizable. We give examples showing that our results are the sharpest possible, e.g., that there is a first countable, perfect, paracompact Čech-complete linearly ordered space with an H-diagonal that is not metrizable. Our example shows that a recent CH-result of Juhász and Szentmiklóssy on metrizability of compact Hausdorff spaces with small diagonals cannot be generalized beyond the class of locally compact spaces. We present examples showing the interplay of the above diagonal conditions with set theory in a natural extension of the Michael line construction.
Źródło:
Fundamenta Mathematicae; 1997, 153, 2; 99-123
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Vector series whose lacunary subseries converge
Autorzy:
Drewnowski, Lech
Labuda, Iwo
Powiązania:
https://bibliotekanauki.pl/articles/1206244.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
subseries convergence
lacunary subseries
zero-density subseries
lacunary convergence property
topological Riesz space of measurable functions
topological vector space of Bochner measurable functions
Lebesgue property
Levi property
copy of $c_0$
Opis:
The area of research of this paper goes back to a 1930 result of H. Auerbach showing that a scalar series is (absolutely) convergent if all its zero-density subseries converge. A series $∑_n x_n$ in a topological vector space X is called ℒ-convergent if each of its lacunary subseries $∑_k x_{n_k}$ (i.e. those with $n_{k+1} - n_k → ∞$) converges. The space X is said to have the Lacunary Convergence Property, or LCP, if every ℒ-convergent series in X is convergent; in fact, it is then subseries convergent. The Zero-Density Convergence Property, or ZCP, is defined similarly though of lesser importance here. It is shown that for every ℒ-convergent series the set of all its finite sums is metrically bounded; however, it need not be topologically bounded. Next, a space with the LCP contains no copy of the space $c_0$. The converse holds for Banach spaces and, more generally, sequentially complete locally pseudoconvex spaces. However, an F-lattice of measurable functions is constructed that has both the Lebesgue and Levi properties, and thus contains no copy of $c_0$, and, nonetheless, lacks the LCP. The main (and most difficult) result of the paper is that if a Banach space E contains no copy of $c_0$ and λ is a finite measure, then the Bochner space $L_0$ (λ,e) has the LCP. From this, with the help of some Orlicz-Pettis type theorems proved earlier by the authors, the LCP is deduced for a vast class of spaces of (scalar and vector) measurable functions that have the Lebesgue type property and are "metrically-boundedly sequentially closed" in the containing $L_0$ space. Analogous results about the convergence of ℒ-convergent positive series in topological Riesz spaces are also obtained. Finally, while the LCP implies the ZCP trivially, an example is given that the converse is false, in general.
Źródło:
Studia Mathematica; 2000, 138, 1; 53-80
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On e-I-open sets, e-I-continuous functions and decomposition of continuity
Autorzy:
Al-Omeri, W.
Noorani, M.S.M.
Al-Omari, A.
Powiązania:
https://bibliotekanauki.pl/articles/357723.pdf
Data publikacji:
2015
Wydawca:
Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:
ideal topological space
decomposition
topology
e-open
e-I-open sets
e-I-continuous functions
przestrzeń topologiczna
dekompozycja
topologia
zbiór otwarty
funkcja ciągła
Opis:
In this paper, we introduce the notations of $e-\mathcal{I}$-open sets and strong $\mathcal{B}_{I}^{\star}$ -set to obtain a decomposition of continuing via idealization. Additionally, we investigate properties of $e-\mathcal{I}$-open sets and strong $\mathcal{B}_{I}^{\star}$ -set. Also we studied some more properties of $e-\mathcal{I}$-open sets and obtained several characterizations of $e-\mathcal{I}$-continuous functions and investigate their relationship with other types of functions.
Źródło:
Journal of Mathematics and Applications; 2015, 38; 15-31
1733-6775
2300-9926
Pojawia się w:
Journal of Mathematics and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Arrangements of series preserving their convergence or boundedness
Autorzy:
Drewnowski, Lech
Powiązania:
https://bibliotekanauki.pl/articles/745881.pdf
Data publikacji:
2007
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Convergent series
bounded series
permutations of series
arrangements of series
topological vector space
spaces of bounded or convergent series
Opis:
For a map \(\rho\) of \(\mathbb{N}\) into itself, consider the induced transformation \(\sum_{n} x_n \mapsto \sum_{n} x_{\rho_(n)}\) of series in a topological vector space. Then such properties of this transformation as sending convergent series to convergent series, or convergent series to bounded series, or bounded series to bounded series (and a few more) are mutually equivalent. Moreover, they are equivalent to an intrinsic property of ρ which reduces to those found by Agnew and Pleasants (in the case of permutations) and Wituła (in the general case) as necessary and sufficient conditions for the above transformation to preserve convergence of scalar series. In the paper, the scalar case is treated first using simple Banach space methods, and then the result is easily extended to the general setting.
Źródło:
Commentationes Mathematicae; 2007, 47, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Examples of sequential topological groups under the continuum hypothesis
Autorzy:
Shibakov, Alexander
Powiązania:
https://bibliotekanauki.pl/articles/1205465.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
topological group
sequential space
Fréchet space
Opis:
Using CH we construct examples of sequential topological groups: 1. a pair of countable Fréchet topological groups whose product is sequential but is not Fréchet, 2. a countable Fréchet and $α_1$ topological group which contains no copy of the rationals.
Źródło:
Fundamenta Mathematicae; 1996, 151, 2; 107-120
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 26

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