Strong shape for topological spaces

Dydak, Jerzy; Nowak, Sławomir

doi:10.1090/S0002-9947-1991-0986690-2

Strong shape for topological spaces
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by Jerzy Dydak and Sławomir Nowak PDF

Trans. Amer. Math. Soc. 323 (1991), 765-796 Request permission

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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