An example concerning the Whitehead Theorem in shape theory
James Draper, James Keesling (1976)
Fundamenta Mathematicae
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James Draper, James Keesling (1976)
Fundamenta Mathematicae
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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.....................................................................................................................
Thomas Sanders (1981)
Fundamenta Mathematicae
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James Keesling (1976)
Fundamenta Mathematicae
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Thomas Sanders (1983)
Fundamenta Mathematicae
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Zvonko Cerin (1995)
Revista Matemática de la Universidad Complutense de Madrid
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We shall describe a modification of homotopy theory of maps which we call shape theory of maps. This is accomplished by constructing the shape category of maps HMb. The category HMb is built using multi-valued functions. Its objects are maps of topological spaces while its morphisms are homotopy classes of collections of pairs of multi-valued functions which we call multi-binets. Various authors have previously given other descriptions of shape categories of maps. Our description is...
Sibe Mardešić (1976)
Fundamenta Mathematicae
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Jerzy Dydak (1980)
Fundamenta Mathematicae
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L. S. Husch, I. Ivanšić (1980)
Compositio Mathematica
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