Cardinality, completeness, and decomposability of sets of endpoints of chainable continua
type: Item
instance of: scholarly article
title: Cardinality, completeness, and decomposability of sets of endpoints of chainable continua
zbMATH Open document ID: 0828.54029
DOI: 10.1016/0166-8641(94)90006-X
author: Julien Doucet
published in: Topology and its Applications
publication date: 1994-11-27T00:00:00Z
review text: The author provides constructive examples of chainable continua with exactly \(n\) endpoints where \(n\) is any nonnegative integer, \(\aleph_0\), or \({\mathfrak c} = 2^{\aleph_0}\). In each case, examples of both decomposable and indecomposable continua are presented. For the infinite cases, examples are provided showing that the set of endpoints can be complete or not. The author concludes with several questions about which sets can be endpoints.
reviewed by: Wayne Lewis
Mathematics Subject Classification ID: 54F50
Mathematics Subject Classification ID: 54F15
zbMATH DE Number: 695884
zbMATH Keywords: chainable continuum
zbMATH Keywords: endpoint
zbMATH Keywords: indecomposability
MaRDI profile type: Publication
cites work: A homogeneous indecomposable plane continuum
cites work: Snake-like continua
cites work: Inverse limit spaces
cites work: Decomposable Chainable Continua
cites work: Q5508167
cites work: Q3304890
cites work: Periodic homeomorphisms of chainable continua
full work available at URL: 0166-8641(94)90006-x
OpenAlex ID: W2031283130
description: scientific article; zbMATH DE number 695884