Results 1 to 10 of about 416 (159)
Vietoris topology on spaces dominated by second countable ones
Open Mathematics, 2015 For a given space X let C(X) be the family of all compact subsets of X. A space X is dominated by a space M if X has an M-ordered compact cover, this means that there exists a family F = {FK : K ∈ C(M)} ⊂ C(X) such that ∪ F = X and K ⊂ L implies that FK ⊂
Daniel Jardón
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Persistent homology for MCI classification: a comparative analysis between graph and Vietoris-Rips filtrations [PDF]
Frontiers in NeuroscienceIntroductionMild cognitive impairment (MCI), often linked to early neurodegeneration, is associated with subtle disruptions in brain connectivity. In this paper, the applicability of persistent homology, a cutting-edge topological data analysis technique
Debanjali Bhattacharya +6 more
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Algebraic characterisation of hyperspace corresponding to topological vector space [PDF]
Journal of Hyperstructures, 2023 Let X be a Hausdor topological vector space over the field of real or complex numbers. When Vietoris topology is given,the hyperspace ℘(X) of all nonempty compact subsets of X forms a topological exponential vector space over the same field. Exponential
Jayeeta Saha, Sandip Jana
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On some cardinal invariants of space of finite subsets
Lietuvos Matematikos Rinkinys, 2005 In article is investigated relationships between some cardinal invariants of topological space and it’s space of finite subsets with Vietoris topology. In generalwe note coincidence of them.
Gintaras Praninskas
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Computational Models of Certain Hyperspaces of Quasi-metric Spaces [PDF]
Logical Methods in Computer Science, 2011 In this paper, for a given sequentially Yoneda-complete T_1 quasi-metric space (X,d), the domain theoretic models of the hyperspace K_0(X) of nonempty compact subsets of (X,d) are studied.
Massoud Pourmahdian, Mahdi Ali-Akbari
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Uniformly discrete hit-and-miss hypertopology. A missing link in hypertopologies
Applied General Topology, 2006 Recently it was shown that the lower Hausdorff metric (uniform) topology is generated by families of uniformly discrete sets as hit sets. This result leads to a new hypertopology which is the join of the above topology and the upper Vietoris topology ...
Giuseppe Di Maio +2 more
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Applied General Topology, 2023 In this article, we investigate the notion of setwise betweenness, a concept introduced by P. Bankston as a generalisation of pointwise betweenness. In the context of continua, we say that a subset C of a continuum X is between distinct points a and b of
Qays R. Shakir
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Multivalued function spaces and Atsuji spaces
Applied General Topology, 2003 In this paper we present two themes. The first one describes a transparent treatment of some of the recent results in graph topologies on multi-valued functions.
Som Naimpally
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Applied General Topology, 2008 The subject of hyperspace topologies on closed or closed and compact subsets of a topological space X began in the early part of the last century with the discoveries of Hausdorff metric and Vietoris hit-and-miss topology.
Giuseppe Di Maio +2 more
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On the Loop Homology of a Certain Complex of RNA Structures
Mathematics, 2021 In this paper, we establish a topological framework of τ-structures to quantify the evolutionary transitions between two RNA sequence–structure pairs. τ-structures developed here consist of a pair of RNA secondary structures together with a non-crossing ...
Thomas J. X. Li, Christian M. Reidys
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