Shape theory of maps.

Zvonko Cerin

Displaying similar documents to “Shape theory of maps.”

Strong shape theory

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.....................................................................................................................

Local behavior and the Vietoris and Whitehead theorems in shape theory

George Kozlowski, Jack Segal (1978)

Fundamenta Mathematicae

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Multifibrations. A class of shape fibrations with the path lifting property

Antonio Giraldo, José M. R. Sanjurjo (2001)

Czechoslovak Mathematical Journal

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In this paper we introduce a class of maps possessing a multivalued homotopy lifting property with respect to every topological space. We call these maps multifibrations and they represent a formally stronger concept than that of shape fibration. Multifibrations have the interesting property of being characterized in a completely intrinsic way by a path lifting property involving only the total and the base space of the fibration. We also show that multifibrations (and also, with some...