Results 11 to 20 of about 118,692,044 (90)

Selection principles and bitopological hyperspaces [PDF]

open access: yes, 2023
[EN] In this paper we continue to research relationships between closure-type properties of hyperspaces over a space X and covering properties of X. For a Hausdorff space X we denote by 2 X the family of all closed subsets of X.
Osipov, Alexander V., Osipov, A. V.
core   +1 more source

ON SOME CONVERGENCE PROPERTIES OF HYPERSPACES WITH HIT-AND-MISS TOPOLOGY [PDF]

open access: yes, 2022
In this paper the relationships between closure type properties of hyperspaces over a space $X$ with that of covering properties of $X$ are being investigated. Our main focus here is to study $\alpha_{_{i}}$-properties of $X$ and that of hyperspaces with
Sen, Ritu
core   +1 more source

Vietoris hyperspaces of scattered Priestley spaces [PDF]

open access: yes, 2021
We study Vietoris hyperspaces of closed and closed final sets of Priestley spaces. We are particularly interested in Skula topologies. A topological space is \emph{Skula} if its topology is generated by differences of open sets of another topology.
Banakh, T., Bonnet, R., Kubiś, W.
core   +1 more source

Topology change and context dependence [PDF]

open access: yes, 1999
The nonclassical features of quantum mechanics are reproduced using models constructed with a classical theory-general relativity. The inability to define complete initial data consistently and independently of future measurements, nonlocality, and the ...
Hadley, Mark J.
core   +1 more source

Disconnectedness properties of hyperspaces [PDF]

open access: yes, 2011
summary:Let $X$ be a Hausdorff space and let $\mathcal H$ be one of the hyperspaces $CL(X)$, $\mathcal K(X)$, $\mathcal F(X)$ or $\mathcal F_n(X)$ ($n$ a positive integer) with the Vietoris topology. We study the following disconnectedness properties for
Tamariz-Mascarúa, Angel   +1 more
core   +1 more source

Convexity in quasi-metric spaces [PDF]

open access: yes, 2012
Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
core   +1 more source

Cellular structures in Topology [PDF]

open access: yes, 1990
This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type.
Renzo Piccinini   +4 more
core   +1 more source

Erratum to “Normality and countable paracompactness of hyperspaces of ordinals” [Topology Appl. 154 (2007) 358–362] [PDF]

open access: yes, 2010
We correct the proof of Theorem 8 in “Normality and countable paracompactness of hyperspaces of ordinals” [Topology Appl. 154 (2007) 358–362]
Nobuyuki Kemoto, Kemoto, Nobuyuki
core   +1 more source

Hyperspaces and Function Graphs in Digital Topology

open access: yes, 2023
We adapt the study of hyperspaces and function spaces from classical topology to digital topology. We define digital hyperspaces and digital function graphs, and study some of their relationships and graphical ...
Boxer, Laurence
core  

The hyperspaces Cn(X) for finite ray-graphs [PDF]

open access: yes, 2013
In this paper we consider the hyperspace Cn(X) of non-empty and closed subsets of a base space X with up to n connected components. The class of base spaces we consider we call finite ray-graphs, and are a noncompact variation on finite graphs.
Norah Esty, Esty, Norah
core   +1 more source

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