Z2-bordism and the Borsuk-Ulam Theorem

被引：0

作者：

Crabb, M. C. ^{[1
]}

Goncalves, D. L. ^{[2
]}

Libardi, A. K. M. ^{[3
]}

Pergher, P. L. Q. ^{[4
]}

机构：

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

[2] Univ Sao Paulo, Dept Matemat, IME, Caixa Postal 66281, BR-05314970 Sao Paulo, SP, Brazil

[3] IGCE UNESP, Dept Matemat, BR-13506900 Rio Claro, SP, Brazil

[4] Univ Fed Sao Carlos, Dept Matemat, Caixa Postal 676, BR-13565905 Sao Carlos, SP, Brazil

来源：

MANUSCRIPTA MATHEMATICA | 2016年 / 150卷 / 3-4期

基金：

巴西圣保罗研究基金会;

关键词：

55M35; 57R75; Primary; 55M20; Secondary; 57R85;

D O I：

10.1007/s00229-015-0809-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this work is to classify, for given integers , the bordism class of a closed smooth -manifold with a free smooth involution with respect to the validity of the Borsuk-Ulam property that for every continuous map there exists a point such that . We will classify a given free -bordism class according to the three possible cases that (a) all representatives of satisfy the Borsuk-Ulam property; (b) there are representatives and of such that satisfies the Borsuk-Ulam property but does not; (c) no representative of satisfies the Borsuk-Ulam property.

引用

页码：371 / 381

页数：11

共 6 条

[1]

Borsuk Karol, 1933, Fundamenta Mathematicae, V20, P177, DOI DOI 10.4064/FM-20-1-177-190

[2]

Brocker Th, 1970, SPRINGER LECT NOTES, V178

[3]

CONNER PE, 1964, DIFFERENTIABLE PERIO

[4]

Goncalves Diana, 2010, Proceedings of the Second International Conference on Advances in Databases, Knowledge, and Data Applications (DBKDA 2010), P1, DOI 10.1109/DBKDA.2010.12

[5]

Koschorke U, 1981, Lecture Notes in Mathematics, V847

[6] BORSUK-ULAM TYPE THEOREMS FOR MANIFOLDS [J].

Musin, Oleg R. .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 140 (07) :2551-2560

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