On stable cohomotopy groups of compact spaces

被引：2

作者：

Nowak, S ^{[1
]}

机构：

[1] Univ Warsaw, Inst Math, PL-02097 Warsaw, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2005年 / 153卷 / 2-3期

关键词：

stable cohomotopy groups; stable shape;

D O I：

10.1016/j.topol.2003.10.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The stable cohomotopy theory is a useful tool for studying global properties of compact spaces. In the stable shape theory we have infinite-dimensional versions of the Whitehead theorem, They require to use the stable cohomotopy groups. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：464 / 476

页数：13

共 50 条

[1] Stable cohomotopy groups of compact spaces
Nowak, S
FUNDAMENTA MATHEMATICAE, 2003, 180 (02) : 99 - 137
[2] On stable cohomotopy groups of compact spaces II
Nowak, Slawomir
TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (02) : 152 - 158
[3] STABLE COHOMOTOPY GROUPS ARE COMPACT SHAPE INVARIANTS
PARKER, DL
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A223 - A223
[4] STABLE COHOMOTOPY AND COBORDISM OF ABELIAN-GROUPS
STRETCH, CT
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1981, 90 (SEP) : 273 - 278
[5] UNIVERSAL MAPPINGS AND A RELATION TO STABLE COHOMOTOPY GROUPS
HOLSZTYNSKI, W
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1970, 18 (02): : 75 - +
[6] A NOTE ON STABLE G-COHOMOTOPY GROUPS
IRIYE, K
KONO, A
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1981, 21 (03): : 599 - 603
[7] LIMITS OF STABLE-HOMOTOPY AND COHOMOTOPY GROUPS
JONES, JDS
WEGMANN, SA
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1983, 94 (NOV) : 473 - 482
[8] Euler class groups and motivic stable cohomotopy
Asok, Aravind
Fasel, Jean
Das, Mrinal Kanti
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2022, 24 (08) : 2775 - 2822
[9] STABLE COHOMOTOPY DIMENSION AND WEAKLY INFINITE DIMENSIONAL SPACES
DRANISHNIKOV, AN
TOPOLOGY AND ITS APPLICATIONS, 1992, 47 (01) : 79 - 81
[10] The Burnside ring and equivariant stable cohomotopy for infinite groups
Lueck, Wolfgang
PURE AND APPLIED MATHEMATICS QUARTERLY, 2005, 1 (03) : 479 - 541

← 1 2 3 4 5 →