Tangential thickness of manifolds

被引：1

作者：

Kwasik, Slawomir ^{[1
]}

Schultz, Reinhard ^{[2
]}

机构：

[1] Tulane Univ, Dept Math, New Orleans, LA 70118 USA

[2] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2015年 / 110卷

关键词：

STABLE-HOMOTOPY THEORY; SEGAL CONJECTURE; BLOCK BUNDLES; CYCLIC GROUPS; SPHERES; CURVATURE; RINGS; CLASSIFICATION; STABILIZATION; PRODUCT;

D O I：

10.1112/plms/pdv009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A notion of tangential thickness of a manifold is introduced. An extensive calculation within the class of lens and fake lens spaces leads to a classification of such manifolds with thickness 1, 3 or 2k, for k >= 1. On the other hand, calculations of tangential thickness in terms of the dimension of the manifold and the rank of the fundamental group show very interesting and quite surprising correlations between these invariants.

引用

页码：1281 / 1313

页数：33

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