A tom Dieck theorem for strong shape theory

Günther, Bernd

doi:10.1090/S0002-9947-1993-1160155-1

A tom Dieck theorem for strong shape theory
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Trans. Amer. Math. Soc. 338 (1993), 857-870 Request permission

Abstract:

We consider an appropriate class of locally finite closed coverings of spaces, for which the strong shape of the elements of the covering and of their intersections determine the strong shape of the whole space. Conclusions concerning shape dimension and spaces having the strong shape of ${\text {CW}}$-complexes are drawn, and a Leray spectral sequence for strong homology is given.

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