Using the Particle Model to Find Structure in Eilenberg-MacLane Spaces [PDF]
, 2021 We introduce two models, the bar construction and the particle model, for a collection of spaces known as Eilenberg-MacLane spaces. These spaces can be used as building blocks for other spaces and are of great interest throughout topology.
Chaiser, Rachel +2 more
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Every finite complex has the homology of some CAT(0) cubical duality group [PDF]
, 2012 We prove that every finite connected simplicial complex has the homology of the classifying space for some $\mathrm{CAT}(0)$ cubical duality group. More specifically, for any finite simplicial complex $X$, we construct a locally $\mathrm{CAT}(0)$ cubical
Kim, Raeyong
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Simultaneous Z/p-acyclic resolutions of expanding sequences [PDF]
, 2013 We prove the following Theorem: Let X be a nonempty compact metrizable space, let $l_1 \leq l_2 \leq...$ be a sequence of natural numbers, and let $X_1 \subset X_2 \subset...$ be a sequence of nonempty closed subspaces of X such that for each k in N ...
Rubin, Leonard R., Tonić, Vera
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Integral Cohomology of 2-Local Hopf Spaces with at Most Two Non-Trivial Finite Homotopy Groups [PDF]
, 2004 In this paper we prove that a non-contractible simply-connected 2-local H-space X with at most two non-trivial finite homotopy groups has no homology ...
Clément, A.
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Finitary Group Cohomology and Eilenberg-Mac Lane Spaces
, 2008 We say that a group G has cohomology almost everywhere finitary if and only if the nth cohomology functors of G commute with filtered colimits for all sufficiently large n.
Hamilton, Martin
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On aspherical configuration Lie groupoids
, 2023 The complement of the hyperplanes $\{x_i=x_j\}$, for all $i\neq j$ in $M^n$, for $M$ an aspherical $2$-manifold, is known to be aspherical. Here we consider the situation, when $M$ is a $2$-dimensional orbifold.
Roushon, S K
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Protective effects of lycium barbarum polysaccharides on cerebral edema and blood-brain barrier disruption after ischemic stroke [PDF]
, 2012 Young Investigators Symposium I (Y3) - Di YangBACKGROUND: Ischemic stroke is a destructive cerebrovascular disease and one of the leading causes of death worldwide.
Chang, RCC +6 more
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THE URYSOHN-MENGER SUM FORMULA: AN EXTENSION OF THE DYDAK-WALSH THEOREM TO DIMENSION ONE [PDF]
, 1995 Let X be a finite-dimensional separable metric space, presented as a disjoint union of subsets, X -A U B. We prove the following theorem: For every prime p, c-dim^^ X < c-din^ A + c-diiri2 p B + 1.
Aleksander N Dranisnikov, Dusan Repovs
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The K(\pi, 1) problem for the affine Artin group of type \widetilde{B}_n and its cohomology
, 2007 In this paper we prove that the complement to the affine complex arrangement of type \widetilde{B}_n is a K(\pi, 1) space. We also compute the cohomology of the affine Artin group G of type \widetilde{B}_n with coefficients over several interesting local
Callegaro, Filippo +2 more
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Modular flats of oriented matroids and poset quasi-fibrations
, 2022 We study the combinatorics of modular flats of oriented matroids and the topological consequences for their Salvetti complexes. We show that the natural map to the localized Salvetti complex at a modular flat of corank one is what we call a poset quasi ...
Mücksch, Paul
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