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Strong Shape and Homology pp 181–199Cite as

Strong shape of metric compacta

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Abstract

This section is devoted to the strong shape theory of metric compacta. Specialization of the theory to this important case brings considerable simplification. The reason for this is that metric compacta admit polyhedral resolutions, which are sequences, and the coherent category of sequences is rather simple (see 3). In the first subsection it is shown that the strong shape category of metric compacta SSh(CM) has an elementary description, first introduced by J.B. Quigley. The second subsection is devoted to the complement theorem, which relates strong shape to proper homotopy.

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Authors and Affiliations

  1. Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000, Zagreb, Croatia

    Sibe Mardešić

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  1. Sibe Mardešić
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© 2000 Springer-Verlag Berlin Heidelberg

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Mardešić, S. (2000). Strong shape of metric compacta. In: Strong Shape and Homology. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-13064-3_10

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  • DOI: https://doi.org/10.1007/978-3-662-13064-3_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08546-8

  • Online ISBN: 978-3-662-13064-3

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