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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Strong shape for topological spaces

Authors: Jerzy Dydak and Sławomir Nowak
Journal: Trans. Amer. Math. Soc. 323 (1991), 765-796
MSC: Primary 55P55; Secondary 54C56, 55N07
MathSciNet review: 986690
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Abstract: Strong shape equivalences for topological spaces are introduced in a way which generalizes easily to inverse systems of topological spaces. Each space is then mapped via a strong shape equivalence into a fibrant inverse system of ANRs. This leads naturally to defining the strong shape category SSh for topological spaces. Other descriptions of SSh are also provided.

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Additional Information

PII: S 0002-9947(1991)0986690-2
Keywords: Shape, fibrations, homotopy equivalences, absolute neighborhood retracts, function spaces
Article copyright: © Copyright 1991 American Mathematical Society

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