Closure maps on regular trisps
type: Item
instance of: scholarly article
title: Closure maps on regular trisps
zbMATH Open document ID: 1191.57018
author: Dmitry N. Kozlov
published in: Topology and its Applications
publication date: 2009-09-28T00:00:00Z
review text: The author introduces the notion of a closure map for a regular triangulated space. The main result of this article asserts that any regular triangulated space collapses to the image of a closure map. This extends previous results of the author on closure maps for posets. The proof of the main Theorem is based on discrete Morse theory.
reviewed by: Elias Gabriel Minian
Mathematics Subject Classification ID: 57Q99
Mathematics Subject Classification ID: 55U99
zbMATH DE Number: 5608083
zbMATH Keywords: triangulated spaces
zbMATH Keywords: collapses
zbMATH Keywords: discrete Morse theory
MaRDI profile type: Publication
full work available at URL: j.topol.2009.07.004
OpenAlex ID: W1998832207
cites work: Morse theory for cell complexes
cites work: A user's guide to discrete Morse theory
cites work: Q4889850
cites work: Collapsibility of Δ(Π_{𝑛})/𝒮_{𝓃} and some related CW complexes
cites work: Simple homotopy types of Hom-complexes, neighborhood complexes, Lovász complexes, and atom crosscut complexes
cites work: Collapsing along monotone poset maps
cites work: Combinatorial algebraic topology
cites work: Complexes of connected graphs
DOI: 10.1016/J.TOPOL.2009.07.004
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description: scientific article; zbMATH DE number 5608083