Local n-connectivity of decomposition spaces
type: Item
instance of: scholarly article
title: Local n-connectivity of decomposition spaces
zbMATH Open document ID: 0547.54027
DOI: 10.1016/0166-8641(84)90030-0
published in: Topology and its Applications
publication date: 1984-01-01T00:00:00Z
review text: The authors study conditions which guarantee a decomposition space is homotopy locally connected.
Mathematics Subject Classification ID: 54F35
Mathematics Subject Classification ID: 54B15
zbMATH DE Number: 3872248
zbMATH Keywords: Freudenthal compactification
zbMATH Keywords: local n-connectedness
zbMATH Keywords: stability of pro- groups
zbMATH Keywords: Mittag-Leffler condition
zbMATH Keywords: homology n-stable closed surjection
zbMATH Keywords: local connectivity
zbMATH Keywords: Vietoris-Smale-like theorems
zbMATH Keywords: \(LC^ k\)-space
zbMATH Keywords: \(LC^ k\)-divisors
zbMATH Keywords: decomposition space
author: J. Dydak
author: Jack Segal
reviewed by: Ralph J. Bean
MaRDI profile type: Publication
full work available at URL: 0166-8641(84)90030-0
OpenAlex ID: W2011486858
cites work: Homotopy Properties of Decomposition Spaces
cites work: Q5591373
cites work: Decompositions into Compact Sets with UV Properties
cites work: Approximate fibrations
cites work: A Hurewicz-Type Theorem for Approximate Fibrations
cites work: Approximate fibrations and a movability condition for maps
cites work: Local n-connectivity and approximate lifting
cites work: Acyclic decompositions of manifolds
cites work: Modified Vietoris theorems for homotopy
cites work: Q4197712
cites work: Q4191275
cites work: Q3952829
cites work: A Stable Converse to the Vietoris-Smale Theorem with Applications to Shape Theory
cites work: Q3894661
cites work: Factorization of Certain Maps up to Homotopy
cites work: Cell-like mappings and their generalizations
cites work: Q5607712
cites work: Q3959112
cites work: Q4067781
cites work: Ends of maps. I
cites work: A Vietoris Mapping Theorem for Homotopy
description: scientific article; zbMATH DE number 3872248