Coincidence points of fiber maps on S-n-bundles

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Data

2010-07-01

Autores

Goncalves, D. L.
Penteado, D.
Vieira, João Peres [UNESP]

Título da Revista

ISSN da Revista

Título de Volume

Editor

Elsevier B.V.

Resumo

In this note we study coincidence of pairs of fiber-preserving maps f, g : E-1 -> E-2 where E-1, E-2 are S-n-bundles over a space B. We will show that for each homotopy class vertical bar f vertical bar of fiber-preserving maps over B, there is only one homotopy class vertical bar g vertical bar such that the pair (f, g), where vertical bar g vertical bar = vertical bar tau circle f vertical bar can be deformed to a coincidence free pair. Here tau : E-2 -> E-2 is a fiber-preserving map which is fixed point free. In the case where the base is S-1 we classify the bundles, the homotopy classes of maps over S-1 and the pairs which can be deformed to coincidence free. At the end we discuss the self-coincidence problem. (C) 2010 Elsevier B.V. All rights reserved.

Descrição

Palavras-chave

Fixed point, Fiber bundle, Fiberwise homotopy, Coincidence theory, Spherical bundle

Como citar

Topology and Its Applications. Amsterdam: Elsevier B.V., v. 157, n. 10-11, p. 1760-1769, 2010.