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.
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页数：13
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