Results 31 to 40 of about 707 (188)
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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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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Vietoris hyperspaces of scattered Priestley spaces
, 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.
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The hyperspaces Cn(X) for finite ray-graphs
Applied General Topology, 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
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Homotopical decompositions of simplicial and Vietoris Rips complexes
, 2021 Motivated by applications in Topological Data Analysis, we consider decompositionsof a simplicial complex induced by a cover of its vertices. We study how the homotopytype of such decompositions approximates the homotopy of the simplicial complexitself ...
Tombari, Francesca +3 more
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Topologies on Superspaces of TVS-Cone Metric Spaces
The Scientific World Journal, 2014 This paper investigates superspaces 𝒫0(X) and 𝒦0(X) of a tvs-cone metric space (X,d), where 𝒫0(X) and 𝒦0(X) are the space consisting of nonempty subsets of X and the space consisting of nonempty compact subsets of X, respectively.
Xun Ge, Shou Lin
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Persistent homology in graph power filtrations [PDF]
Royal Society Open Science, 2016 The persistence of homological features in simplicial complex representations of big datasets in Rn resulting from Vietoris–Rips or Čech filtrations is commonly used to probe the topological structure of such datasets.
Allen D. Parks, David J. Marchette
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Frontiers in Computational Neuroscience, 2022 With the development of network science and graph theory, brain network research has unique advantages in explaining those mental diseases, the neural mechanism of which is unclear.
Guangxing Guo +13 more
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Cellular-compact and cellular-Lindelöf on hyperspaces
Researches in MathematicsThe generalized metric properties on hyperspaces with the Pixley-Roy topology and the Vietoris topology have been studied by many authors. They considered several generalized metric properties and studied the relation between a space $X$ satisfying such ...
L.Q. Tuyen, O.V. Tuyen, N.X. Truc
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Lower-Vietoris-type topologies on hyperspaces
Topology and its Applications, 2017 14 ...
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