On the inequivalence of the Borsuk and the H-shape theories for arbitrary metric spaces
Thomas Sanders (1974)
Fundamenta Mathematicae
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Displaying similar documents to “Several characterizations of SSDR-maps”
On the inequivalence of the Borsuk and the H-shape theories for arbitrary metric spaces
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A survey of the shape theory of compacta
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J. Dydak, J. Segal
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CONTENTS1. Introduction..................................................................................................................................... 52. Terminology and notation.................................................................................................................... 63. Proper maps on contractible telescopes.......................................................................................... 84. The strong shape category.....................................................................................................................
On the shape of MAR and MANR-spaces
Stanisław Godlewski (1975)
Fundamenta Mathematicae
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Locally well-behaved paracompacta in shape theory
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Q. Haxhibeqiri (1985)
Matematički Vesnik
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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...