Shape theory
type: Item
instance of: scholarly article
title: Shape theory
zbMATH Open document ID: 1484.55011
published in: Journal of Mathematical Sciences (New York)
publication date: 2021-12-01T00:00:00Z
review text: The paper is a review of basic concepts and the currently most important results in shape theory. Several other challenges and results related to this theory are also presented. The extensive set of references is a reliable starting point for further detailed and systematic studies. The topics covered are: \begin{itemize} \item basic construction of shape theory \item the shape classification of spaces \item complement theorems in shape theory \item movability and other shape invariants \item stable spaces and shape retracts \item Whitehead's and Hurewicz' theorems in shape theory \item the shape dimension of spaces and maps \item embeddings in shape theory \item cell-like maps and shape theory \end{itemize}
reviewed by: Corina Mohorianu
Mathematics Subject Classification ID: 55P55
Mathematics Subject Classification ID: 55-02
Mathematics Subject Classification ID: 54C56
zbMATH DE Number: 7436589
zbMATH Keywords: shape theory
zbMATH Keywords: shape classification
zbMATH Keywords: complement theorems
zbMATH Keywords: stable spaces
zbMATH Keywords: shape retracts
zbMATH Keywords: shape dimension of spaces
zbMATH Keywords: embeddings in shape theory
zbMATH Keywords: cell-like maps
author: P. S. Gevorkian
MaRDI profile type: Publication
full work available at URL: s10958-021-05649-z
OpenAlex ID: W4200412437
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
cites work: Combinatorial homotopy. I

Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (cites work)
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Shape theory (DOI)
DOI: 10.1007/S10958-021-05649-Z