On approximate n-connectedness
Thomas Sanders (1983)
Fundamenta Mathematicae
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Displaying similar documents to “Compacta weak shape equivalent to ANR's”
On approximate n-connectedness
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Borsuk, K.
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Y. Kodama, J. Ono (1979)
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Mardešić, S.
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Jerzy Dydak, Sławomir Nowak (2002)
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The purpose of this paper is to provide a geometric explanation of strong shape theory and to give a fairly simple way of introducing the strong shape category formally. Generally speaking, it is useful to introduce a shape theory as a localization at some class of “equivalences”. We follow this principle and we extend the standard shape category Sh(HoTop) to Sh(pro-HoTop) by localizing pro-HoTop at shape equivalences. Similarly, we extend the strong shape category of Edwards-Hastings...