Results 91 to 100 of about 707 (188)
Mayer vietoris sequence for persistent homology
, 2018 Persistent homology is an algebraic method for understanding topological features of discrete objects or data (finite set of points with metric defined on it).
YAĞMUR YILMAZ
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Cohomology for Operator Algebras: The Mayer–Vietoris Sequence
, 1997 For an inclusion B⊆A of operator algebras we introduce the B-nil cohomology groupsHn(A∣B), which can be easier to compute than the standard cohomology groupsHn(A).
Smith, Roger R. +2 more
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Singular Vietoris-Begle theorems for relations
, 1984 The Vietoris-Begle theorem with singularities, for three spaces X X , Y Y , T T , is extended to the case that a closed relation replaces a continuous map and more generally to set valued maps.
D. G. Bourgin, Robert M. Nehs
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Convex power domain and vietoris space
, 2004 In this paper, the maximal point spaces (MP-space in short) of convex power domains are investigated. Some characterizations of the maximal points of convex power domains are obtained.
Liang, Jihua, Kou, Hui
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Atom probe informed persistent homology analysis of precipitation topology and hardening
Materials & DesignPrecipitation hardening (PH) in metals arises from the evolution of precipitate structures, where connectivity and spatial organisation critically influence mechanical performance.
Siying Zhu, Tao Zhou
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MathematicsA methodological approach to the quantitative description of the spatial relations between phases in multicomponent systems is developed, based on the comparison of Betti numbers of united phases.
Andrey O. Kalashnikov +1 more
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, 2002 We show that a measurement µ on a continuous dcpo D extends to a measurementμ on the convex powerdomain CD iff it is a Lebesgue measurement. In particular, ker µ must be metrizable in its relative Scott topology.
Keye Martin
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A topology generated by selections
, 2005 Every selection f:F2(X)→X for the family F2(X) of at most two-point subsets of a set X naturally defines an order-like relation ⪯f on X by letting x⪯fy if and only if f({x,y})=x. In particular, it also defines a natural interval-like topology on X.
Nogura, Tsugunori, Gutev, Valentin
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Topological Study of β-Sparsified d-Uniform Hypergraph-Based Simplicial Complexes
MathematicsPersistent Homology (PH) is a method of Topological Data Analysis that characterizes the topological structure of a space. Unfortunately, the computation of PH for high-dimensional and big data is not possible due to the exponential growth of the ...
Rohit P. Singh +3 more
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The Vietoris hyperspace structure for approach spaces
, 2013 : We show that there exists a natural approach version of the topological Vietoris hyperspace construction [16], [17] which has several advantages over the topological version.
Wuyts, P., Lowen, Robert
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