On fine shape theory II
Y. Kodama, J. Ono (1980)
Fundamenta Mathematicae
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Displaying similar documents to “On fine shape theory”
On fine shape theory II
On the Lusternik-Schnirelmann category in the theory of shape
Karol Borsuk (1978)
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Some remarks concerning the theory of shape in arbitrary metrizable spaces
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David Edwards, Ross Geoghegan (1976)
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A survey of the shape theory of compacta
Mardešić, S.
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Finite-dimensional categorical complement theorems in strong shape theory and a principle of reversing maps between open subsets of spheres
Peter Mrozik (1991)
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Function spaces and shape theories
Jerzy Dydak, Sławomir Nowak (2002)
Fundamenta Mathematicae
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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...