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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

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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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1993-1160155-1
Keywords: Locally finite closed coverings, expansion of coverings, strong shape, strong homology, shape dimension, tom Dieck Theorem
Article copyright: © Copyright 1993 American Mathematical Society