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Wyświetlanie 1-15 z 18
Tytuł:
Some examples of true $F_{σδ}$ sets
Autorzy:
Balcerzak, Marek
Darji, Udayan
Powiązania:
https://bibliotekanauki.pl/articles/1396018.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Borel set
hyperspace
Opis:
Let K(X) be the hyperspace of a compact metric space endowed with the Hausdorff metric. We give a general theorem showing that certain subsets of K(X) are true $F_{σδ}$ sets.
Źródło:
Colloquium Mathematicum; 2000, 86, 2; 203-207
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some examples of true $F_{σδ}$ sets
Autorzy:
Balcerzak, Marek
Darji, Udayan
Powiązania:
https://bibliotekanauki.pl/articles/1396020.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Borel set
hyperspace
Opis:
Let K(X) be the hyperspace of a compact metric space endowed with the Hausdorff metric. We give a general theorem showing that certain subsets of K(X) are true $F_{σδ}$ sets.
Źródło:
Colloquium Mathematicum; 2000, 86, 2; 203-207
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Size levels for arcs
Autorzy:
Nadler, Sam
West, T.
Powiązania:
https://bibliotekanauki.pl/articles/1214951.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
hyperspace
cyclic elements
absolute retract
Opis:
We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.
Źródło:
Fundamenta Mathematicae; 1992, 141, 3; 243-255
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Whitney maps-a non-metric case
Autorzy:
Charatonik, Janusz
Charatonik, Włodzimierz
Powiązania:
https://bibliotekanauki.pl/articles/965819.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Whitney map
hyperspace
metrizable
continuum
Opis:
It is shown that there is no Whitney map on the hyperspace $2^X$ for non-metrizable Hausdorff compact spaces X. Examples are presented of non-metrizable continua X which admit and ones which do not admit a Whitney map for C(X).
Źródło:
Colloquium Mathematicum; 2000, 83, 2; 305-307
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Integrated self system: a microgenetic approach
Autorzy:
Pąchalska, Maria
Powiązania:
https://bibliotekanauki.pl/articles/2106016.pdf
Data publikacji:
2019-12-05
Wydawca:
Fundacja Edukacji Medycznej, Promocji Zdrowia, Sztuki i Kultury Ars Medica
Tematy:
brain
mind
time
hyperspace
self system
Opis:
This article is dedicated to my beloved mother, Zofia Kuzak, Honorary Member of the Polish Neuropsychological Society, and my highest moral authority, to honor her 100 th birthday. During the Nazi occu pation, at the age of 23, she was deport ed to Germany and forced into slave labour at a German camp, from which she managed to escape. During this escape she had to sit for three long days high up in a tree, without food and without anything to drink, something made possible by her strong physical condition. After three days, she dared to leave the tree and, in throwing the Nazis pursuing her, she ran away not to the South - to her home in Nowy Sącz, but to the North – to Poznań, where she took refuge in the apartment of other relatives, true Polish patriots. She stayed there for the years 1943–1947, keeping the accounts at the large family grocery store. The experiences from this period influenced the formation of her own self and her identity. Her stories about times of tragedy and her ways of dealing with the darkest moments in her life contributed to the fact that I became interested in the subject of the self and identity. I have prepared two monographs and several articles on this topic. This article presents a new approach to integrated self system, associated not only with the physical organism, but also with the social and cultural world. The foundation of this approach to the self is microgenetic theory, especially its account of consciousness, of the transition from self to image, act and object, the epochal nature of this transition, and its relation to introspection, imagination and agency. The affinities of microgenetic theory to many aspects of the thought process should be evident to readers of this journal, but the theory, which was developed from studies of pathological cases, rests on a wealth of clinical detail. In brief, the micro-temporal transition from archaic to recent formations (distributed systems) in the phyletic history of the forebrain constitutes the absolute mental state, with consciousness the relation of self to image and/or object. The reader will be able also to find here the overlapping of states, the continuity of the core over successive states, and subjective time experience. However, the integrated self system is associated not only with the operation of the biological brain and its complex patterns of neural connections, but also with the activity of the social mind/brain, in terms of bonds created within social groups, as well as the cultural mind/brain creating the world of cultural values, including religious ones. I will sum up with a model of self system changing in time (4D), pulsating according to the states of mind (5D) forming different numbers of “bits” of information, as marked on the x axis, and linked to the duration of memories, marked on the y axis. The self system also depends on gravity (6D), and other hyperspace dimensions hitherto unknown in neuroscience.
Źródło:
Acta Neuropsychologica; 2019, 17(4); 349-393
1730-7503
2084-4298
Pojawia się w:
Acta Neuropsychologica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Ramsey theorem for polyadic spaces
Autorzy:
Bell, Murray
Powiązania:
https://bibliotekanauki.pl/articles/1205492.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
polyadic
regular closed
uniform Eberlein
hyperspace
Opis:
A polyadic space is a Hausdorff continuous image of some power of the one-point compactification of a discrete space. We prove a Ramsey-like property for polyadic spaces which for Boolean spaces can be stated as follows: every uncountable clopen collection contains an uncountable subcollection which is either linked or disjoint. One corollary is that $(ακ)^ω$ is not a universal preimage for uniform Eberlein compact spaces of weight at most κ, thus answering a question of Y. Benyamini, M. Rudin and M. Wage. Another consequence is that the property of being polyadic is not a regular closed hereditary property.
Źródło:
Fundamenta Mathematicae; 1996, 150, 2; 189-195
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Operational restrictions on morphing of quasi-geometric 4D physical spaces
Autorzy:
Czajko, J.
Powiązania:
https://bibliotekanauki.pl/articles/411545.pdf
Data publikacji:
2015
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Furling of higher dimensions
virtual orthogonality
multispatial hyperspace
Opis:
Since a hierarchical notion of dimension is needed to ensure that a virtual, indirect orthogonality of dimensions is maintained in higher-dimensional spatial structures, a generic function for furling and unfurling of the fourth dimension in four-dimensional (4D) spatial structures is proposed. The furling allows three extra dimensions (above the regular three) in a 6D algebraic structure to be represented as a single fourth dimension and thus effectively facilitates morphing of the 4D spacetime into its dual 4D timespace. The effect of the furling of the extra three dimensions resembles that of compactification proposed by Kaluza-Klein theory yet without curling of the furled dimension. The furling supports reexpansion of stringy space into yet another dimension and so enables mapping of radius R (of a closed string being squeezed beyond its minimal radius) into an inverse radius 1/R, which was attributed to string duality, but is shown as due to duality of the 4D spatial structures of spacetime and timespace. Mathematically, it may appear as if further squeezing of the minimal string morphs it into an expanding pointletlike energy bubble so that the stringy spacetime reexpands in a new direction/dimension located within the bubbly dual timespace. So vibrating string is a mirror image of an energy bubblet, both of which do represent the same stringlet. By analogy, particle cast in spacetime could appear mathematically as having a mirror image (or its superpartner) cast in the dual timespace.
Źródło:
International Letters of Chemistry, Physics and Astronomy; 2015, 41; 45-72
2299-3843
Pojawia się w:
International Letters of Chemistry, Physics and Astronomy
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The space of ANR’s in $ℝ^n$
Autorzy:
Dobrowolski, Tadeusz
Rubin, Leonard
Powiązania:
https://bibliotekanauki.pl/articles/1208440.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
hyperspace
absolute neighborhood retract
absolute retract
$G_{δσ δ}$-set
absorber
Opis:
The hyperspaces $ANR(ℝ^n)$ and $AR(ℝ^n)$ in $2^{ℝ^n} (n ≥ 3)$ consisting respectively of all compact absolute neighborhood retracts and all compact absolute retracts are studied. It is shown that both have the Borel type of absolute $G_{δσ δ}$-spaces and that, indeed, they are not $F_{σ δσ }$-spaces. The main result is that $ANR(ℝ^n)$ is an absorber for the class of all absolute $G_{δσ δ}$-spaces and is therefore homeomorphic to the standard model space $Ω_3$ of this class.
Źródło:
Fundamenta Mathematicae; 1994-1995, 146, 1; 31-58
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hyperspaces of CW-complexes
Autorzy:
Guo, Bao-Lin
Sakai, Katsuro
Powiązania:
https://bibliotekanauki.pl/articles/1208620.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
CW-complex
hyperspace
the Vietoris topology
stratifiable space
AR(S)
ANR(S)
Opis:
It is shown that the hyperspace of a connected CW-complex is an absolute retract for stratifiable spaces, where the hyperspace is the space of non-empty compact (connected) sets with the Vietoris topology.
Źródło:
Fundamenta Mathematicae; 1993, 143, 1; 23-40
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hausdorff convergence of domains and their boundaries for shape optimal design
Autorzy:
Holzleitner, L.
Powiązania:
https://bibliotekanauki.pl/articles/205525.pdf
Data publikacji:
2001
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
hiperprzestrzeń
konwergencja Hausdorffa
miara Haudorffa
Hausdorff convergence
Hausdorff metric
hyperspace
shape optimization
Opis:
A question, which arises frequently in shape optimal design, is the convergence of domains. If the objective function is defined by using the solution of a PDE with boundary conditions, then also the convergence of the boundary is of importance. In this paper a criterion for a set of domains is defined, such that from [Omega_n] --> Omega follows [Gamma_n] --> Gamma if one is restricting to this set of domains. Moreover it is proved that this criterion is sharp, meaning that if [Omega_n] --> Omega implies [Gamma_n] --> Gamma holds for any sequence of this set, then this criterion has to be fulfilled. A similar criterion for the convergence of the Lebesgue measure of the boundaries my(Gamma_n) --> my(Gamma) is given.
Źródło:
Control and Cybernetics; 2001, 30, 1; 23-44
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Trends in Use of RF Spectrum
Autorzy:
Strużak, R.
Powiązania:
https://bibliotekanauki.pl/articles/308169.pdf
Data publikacji:
2009
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
radio communication hyperspace
radio frequency spectrum resources
radio regulations
spectrum engineering
spectrum management
Opis:
This paper reviews possible improvements in the use of radio waves for carrying information from an engineering viewpoint. A few new concepts are proposed, which reduce the problem to an arrangement of solids in a multidimensional space.
Źródło:
Journal of Telecommunications and Information Technology; 2009, 4; 95-100
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hereditarily weakly confluent induced mappings are homeomorphisms
Autorzy:
Charatonik, Janusz
Charatonik, Włodzimierz
Powiązania:
https://bibliotekanauki.pl/articles/966016.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
atriodic
semi-confluent
hereditary
confluent
atomic
homeomorphism
cone
weakly confluent
monotone
hyperspace
joining
continuum
Opis:
For a given mapping f between continua we consider the induced mappings between the corresponding hyperspaces of closed subsets or of subcontinua. It is shown that if either of the two induced mappings is hereditarily weakly confluent (or hereditarily confluent, or hereditarily monotone, or atomic), then f is a homeomorphism, and consequently so are both the induced mappings. Similar results are obtained for mappings between cones over the domain and over the range continua.
Źródło:
Colloquium Mathematicum; 1998, 75, 2; 195-203
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The hyperspace of finite subsets of a stratifiable space
Autorzy:
Cauty, Robert
Guo, Bao-Lin
Sakai, Katsuro
Powiązania:
https://bibliotekanauki.pl/articles/1208364.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
hyperspace
the Vietoris topology
stratifiable space
AR(S), ANR(S)
2-hyper-locally-connected
Opis:
It is shown that the hyperspace of non-empty finite subsets of a space X is an ANR (an AR) for stratifiable spaces if and only if X is a 2-hyper-locally-connected (and connected) stratifiable space.
Źródło:
Fundamenta Mathematicae; 1995, 147, 1; 1-9
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hyperspaces of Peano continua of euclidean spaces
Autorzy:
Gladdines, Helma
van Mill, Jan
Powiązania:
https://bibliotekanauki.pl/articles/1208639.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hilbert cube
Hilbert space
absorbing system
Z-set
$F_{σδ}$
hyperspace
Peano continuum
$ℝ^n$
Opis:
If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We prove that for n ≥ 3 the space $L(ℝ^n)$ is homeomorphic to $B^∞$, where B denotes the pseudo-boundary of the Hilbert cube Q.
Źródło:
Fundamenta Mathematicae; 1993, 142, 2; 173-188
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 18

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