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pro vyhledávání: '"Reduced homology"'
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Autor:
Shanahan, Patrick, Youngs, J.
Publikováno v:
Volume: 24, Issue: 0 41-61
İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy
İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=tubitakulakb::48b4bcc00d750c9f9a7e13f45fa86823
https://dergipark.org.tr/tr/pub/iusfjm/issue/9482/118478
https://dergipark.org.tr/tr/pub/iusfjm/issue/9482/118478
Autor:
Markus Banagl, Eugenie Hunsicker
Publikováno v:
Geom. Topol. 23, no. 5 (2019), 2165-2225
Given a perversity function in the sense of intersection homology theory, the method of intersection spaces assigns to certain oriented stratified spaces cell complexes whose ordinary reduced homology with real coefficients satisfies Poincar\'e duali
Autor:
Richard Ehrenborg, Dustin Hedmark
Publikováno v:
Journal of Algebraic Combinatorics. 47:403-439
Given a filter $\Delta$ in the poset of compositions of $n$, we form the filter $\Pi^{*}_{\Delta}$ in the partition lattice. We determine all the reduced homology groups of the order complex of $\Pi^{*}_{\Delta}$ as ${\mathfrak S}_{n-1}$-modules in t
Autor:
Kang-Ju Lee, Woong Kook
Publikováno v:
European Journal of Combinatorics. 71:180-193
The Mobius coinvariant μ ⊥ ( G ) of a graph G is defined to be the Mobius invariant of the dual of the cycle matroid of G . This invariant is known to equal the rank of the reduced homology of the cycle matroid complex of G . For a complete graph
Autor:
Samuel Asefa Fufa, Melkamu Zeleke
Publikováno v:
Indian Journal of Pure and Applied Mathematics. 49:51-69
In this paper, we compute the Mobius function of pointed integer partition and pointed ordered set partition using topological and analytic methods. We show that the associated order complex is a wedge of spheres and compute the associated reduced ho
Autor:
Eran Nevo, Kai Fong Ernest Chong
We prove several relations on the $f$-vectors and Betti numbers of flag complexes. For every flag complex $\Delta$, we show that there exists a balanced complex with the same $f$-vector as $\Delta$, and whose top-dimensional Betti number is at least
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77ad0c7c53c7bc4250c19ec2323ec231
http://arxiv.org/abs/1908.08308
http://arxiv.org/abs/1908.08308
Publikováno v:
Journal of Topology and Analysis. :47-71
Aramayona and Leininger have provided a "finite rigid subset" 𝔛(Σ) of the curve complex [Formula: see text] of a surface [Formula: see text], characterized by the fact that any simplicial injection [Formula: see text] is induced by a unique eleme
Publikováno v:
Applied Mathematics & Information Sciences. 8:2337-2345
In this paper we are interested in relative homology groups of digital images. Some properties of the Euler characteristics for digital images are given. We also present reduced homology groups for digital images. The main purpose is to obtain some d
Autor:
Luis Montejano
Publikováno v:
Electronic Notes in Discrete Mathematics. 44:405-409
We will discuss the following result: for a topological space X with the property that H k ( U ) = 0 for k ⩾ d and every open subset U of X, a finite family of open sets in X has nonempty intersection if for any subfamily of size j, 1 ⩽ j ⩽ d +