Covering spaces of homogeneous continua
type: Item
instance of: scholarly article
title: Covering spaces of homogeneous continua
zbMATH Open document ID: 0812.54040
DOI: 10.1016/0166-8641(94)90092-2
author: Sergio Macías
published in: Topology and its Applications
publication date: 1994-11-28T00:00:00Z
review text: A continuum (i.e., a compact connected metric space) \(X\) is said to be homogeneous if for every two points \(x,y \in X\) there is a homeomorphism \(h : X \to X\) such that \(h(x) = y\). The author studies homogeneous continua, in general not locally connected, with the property that the first Čech cohomology group is not trivial. He uses covering spaces of some homogeneous continua (a simple closed curve, a solenoid, the Case continuum and the Minc-Rogers continuum) to study various properties of the base space.
Mathematics Subject Classification ID: 54F15
Mathematics Subject Classification ID: 54F50
zbMATH DE Number: 681618
zbMATH Keywords: component
zbMATH Keywords: Case continuum
zbMATH Keywords: homogeneous continua
zbMATH Keywords: covering spaces
zbMATH Keywords: Minc- Rogers continuum
reviewed by: Janusz J. Charatonik
MaRDI profile type: Publication
full work available at URL: 0166-8641(94)90092-2
OpenAlex ID: W2071946671
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description: scientific article; zbMATH DE number 681618