Continuous collections of hereditarily indecomposable continua
type: Item
instance of: scholarly article
title: Continuous collections of hereditarily indecomposable continua
zbMATH Open document ID: 0890.54009
DOI: 10.1016/S0166-8641(96)00068-5
author: Wayne Lewis
published in: Topology and its Applications
publication date: 1998-06-30T00:00:00Z
review text: This paper is a good survey of results and questions concerning continuous collections of hereditarily indecomposable continua. Subjects covered include construction of continuous decompositions, lifting of homeomorphisms from the decomposition space to the decomposed space, characterization of possible elements of continuous decompositions along with the possible embeddings of the elements, and the relationships among homogeneous continua and their continuous decompositions. The focus is on continuous decompositions of the plane and of one-dimensional continua.
Mathematics Subject Classification ID: 54B15
Mathematics Subject Classification ID: 54F15
Mathematics Subject Classification ID: 54F50
Mathematics Subject Classification ID: 54C10
zbMATH DE Number: 987921
zbMATH Keywords: continuous decomposition
zbMATH Keywords: continuum
zbMATH Keywords: hereditarily indecomposable
zbMATH Keywords: pseudo-arc
reviewed by: Carl R. Seaquist
MaRDI profile type: Publication
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full work available at URL: s0166-8641(96)00068-5
OpenAlex ID: W1983328914
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description: scientific article; zbMATH DE number 987921