Some remarks on the parametrized Borsuk-Ulam theorem

被引：1

作者：

Crabb, Michael ^{[1
]}

Singh, Mahender ^{[2
]}

机构：

[1] Univ Aberdeen, Inst Math, Aberdeen AB24 3UE, Scotland

[2] Indian Inst Sci Educ & Res IISER Mohali, Sect 81,PO Manauli, Mohali 140306, Punjab, India

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2018年 / 20卷 / 02期

关键词：

Borsuk-Ulam theorem; Euler class; fibrewise map; PRODUCT; COHOMOLOGY; SPHERES; SPACES;

D O I：

10.1007/s11784-018-0559-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a locally trivial fibre bundle (with fibres and base finite complexes), an orthogonal real line bundle over E and a real vector bundle over B, we consider a fibrewise map over B defined on the unit sphere bundle of . Following the fundamental work of Jaworowski and Dold on the parametrized Borsuk-Ulam theorem, we investigate lower bounds on the cohomological dimension of the set (v is an element of S(lambda) vertical bar f(u) = f(-v)}.

引用

页数：14

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