Coincidences of multiple fibre-preserving maps

被引：0

作者：

Mendes Monis, Thais Fernanda ^{[1
]}

Silva, Weslem Liberato ^{[2
]}

机构：

[1] Univ Estadual Paulista UNESP, Inst Geociencias & Ciencias Exatas IGCE, Av 24A,1515 Bela Vista, BR-13506900 Rio Claro, SP, Brazil

[2] Univ Estadual Santa Cruz UESC, Dept Ciencias Exatas & Tecnol, Rodovia Jorge Amado,Km 16, BR-45662900 Ilheus, BA, Brazil

来源：

TOPOLOGY AND ITS APPLICATIONS | 2021年 / 293卷

关键词：

Coincidence; Obstruction theory; Fibre-preserving maps; FIXED-POINTS; BUNDLES;

D O I：

10.1016/j.topol.2020.107550

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the following problem: given X hooked right arrow M hooked right arrow B and Y hooked right arrow N -> B smooth fibre bundles over Band f(1),..., f(k): M -> N fibre-preserving maps, is it possible to deform (f(1),...,f(k)) similar to (f(1)',..., f(k)') via a fibrewise homotopy over B such that the set of coincidence points of f(1)',..., f(k)': M -> N is empty? We study this question making use of obstruction theory. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：13

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