Results 41 to 50 of about 521,410 (206)
Approximating Local Homology from Samples [PDF]
, 2013 Recently, multi-scale notions of local homology (a variant of persistent homology) have been used to study the local structure of spaces around a given point from a point cloud sample.
Skraba, Primoz, Wang, Bei
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Compactness of the space of causal curves
, 2004 We prove that the space of causal curves between compact subsets of a separable globally hyperbolic poset is itself compact in the Vietoris topology. Although this result implies the usual result in general relativity, its proof does not require the use ...
Abramsky S +13 more
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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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Lower-Vietoris-type topologies on hyperspaces
Topology and its Applications, 2017 14 ...
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Selection principles in hyperspaces with generalized Vietoris topologies
Topology and its Applications, 2008 In [J. Korean Math. Soc. 43, No.~5, 1099--1114 (2006; Zbl 1113.54006)] and [Topology Appl. 155, No.~17--18, 1947--1958 (2008; Zbl 1221.54004)], the authors investigated hyperspaces on a Čech closure space, in particular the question of what topologies could be considered as well as what results were still valid in this setting.
Mršević, Mila, Jelić, Milena
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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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Selections and order-like relations
Applied General Topology, 2001 Every selection f for the family F2(X) of at most two-point subsets of a set X naturally defines an order-like relation on X by if and only . In the present paper we study the relationship between and the possible topologies T on X which realize the ...
Valentin Gutev, Tsugunori Nogura
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Blanchfield and Seifert algebra in high-dimensional boundary link theory I: Algebraic K-theory [PDF]
, 2005 The classification of high-dimensional mu-component boundary links motivates decomposition theorems for the algebraic K-groups of the group ring A[F_mu] and the noncommutative Cohn localization Sigma^{-1}A[F_mu], for any mu>0 and an arbitrary ring A ...
Andrew Ranicki +41 more
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Orderability and continuous selections for Wijsman and Vietoris hyperspaces
Applied General Topology, 2003 Bertacchi and Costantini obtained some conditions equivalent to the existence of continuous selections for the Wijsman hyperspace of ultrametric Polish spaces. We introduce a new class of hypertopologies, the macro-topologies.
Debora Di Caprio, Stephen Watson
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, 2004 A test space is the set of outcome-sets associated with a collection of experiments. This notion provides a simple mathematical framework for the study of probabilistic theories -- notably, quantum mechanics -- in which one is faced with incommensurable ...
A. Gleason +8 more
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