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

Author: Bernd Günther
Journal: Trans. Amer. Math. Soc. 338 (1993), 857-870
MSC: Primary 54C56; Secondary 54D20, 55P55
DOI: https://doi.org/10.1090/S0002-9947-1993-1160155-1
MathSciNet review: 1160155
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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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