Coincidences of multiple fibre-preserving maps

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2021-04-15

Autores

Mendes Monis, Thaís Fernanda [UNESP]
Silva, Weslem Liberato

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Resumo

In this paper we study the following problem: given X↪M→B and Y↪N→B smooth fibre bundles over B and f1,…,fk:M→N fibre-preserving maps, is it possible to deform (f1,…,fk)∼(f1′,…,fk′) via a fibrewise homotopy over B such that the set of coincidence points of f1′,…,fk′:M→N is empty? We study this question making use of obstruction theory.

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Coincidence, Fibre-preserving maps, Obstruction theory

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Topology and its Applications, v. 293.

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