Results 81 to 90 of about 707 (188)
Contributions to Persistence Theory
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 Persistence theory discussed in this paper is an application of algebraic topology (Morse Theory [29]) to Data Analysis, precisely to qualitative understanding of point cloud data, or PCD for short.
Du Dong
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Some generalized metric properties on hyperspaces with the Vietoris topology
, 2019 We study the heredity of the classes of generalized metric spaces (for example, spaces with a $σ$-hereditarily closure-preserving $k$-network, spaces with a point-countable base, spaces with a base of countable order, spaces with a point-regular base, Nagata-spaces, $c$-semi-stratifiable spaces, $γ$-spaces, semi-metrizable spaces) to the hyperspaces of
Lin, Fucai, Shen, Rongxin, Liu, Chuan
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The Iwasawa invariants of Zpd${\mathbb {Z}}_{p}^{\,d}$‐covers of links
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract Let p$p$ be a prime number and let d∈Z>0$d\in {\mathbb {Z}}_{>0}$. In this paper, following the analogy between knots and primes, we study the p$p$‐torsion growth in a compatible system of (Z/pnZ)d$({\mathbb {Z}}/p^n{\mathbb {Z}})^d$‐covers of 3‐manifolds and establish several analogues of Cuoco–Monsky's multivariable versions of Iwasawa's ...
Sohei Tateno, Jun Ueki
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An Algebraic Index Theorem for Non-smooth Economies [PDF]
In this paper, we prove an existence theorem for equilibria in production economies with increasing returns, which generalizes the classic results on this topic.
Gaël Giraud
core
Upper semifinite hyperspaces as unifying tools in normal Hausdorff topology
, 2007 In this paper we use the upper semifinite topology in hyperspaces to get results in normal Hausdorff topology. The advantage of this point of view is that the upper semifinite topology, although highly non-Hausdorff, is very easy to handle.
Alonso-Morón, M. +3 more
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$\omega$ -cover and related spaces on the vietoris hyperspace $\mathcal F(X)$
Tạp chí Khoa học và Công nghệRecently, Tuyen et al. [1] showed that a space has a $\sigma$-(P)-strong network consisting of cs-covers (resp., $cs^*$-covers) if and only if the hyperspace $\mathcal F(X)$ does, where is one of the following properties: point finite, point countable,
Nguyen Xuan Truc +3 more
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Eilenberg–Mac Lane Spaces for Topological Groups
Axioms, 2019 In this paper, we establish a topological version of the notion of an Eilenberg−Mac Lane space. If X is a pointed topological space, π 1 ( X ) has a natural topology coming from the compact-open topology on the space of maps S
Ged Corob Cook
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Kararlı homoloji için Mayer Vietoris dizisi.
, 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).
Yılmaz, Yağmur
core
Vietoris topology on hyperspaces associated to a noncommutative compact space
Mathematica, 2018 We study some topological spaces that can be considered as hyperspaces associated to noncommutative spaces. More precisely, for a NC compact space associated to a unital C*-algebra, we consider the set of closed projections of the second dual of the C*-algebra as the hyperspace of closed subsets of the NC space.
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Approximations de la filtration de Vietoris-Rips de taille linéaire
, 2013 International audienceThe Vietoris–Rips filtration is a versatile tool in topological data analysis. It is a sequence of simplicial complexes built on a metric space to add topological structure to an otherwise disconnected set of points.
Sheehy, Donald
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