On a problem of Ganea about strong category

被引：1

作者：

Fernández-Suárez, L ^{[1
]}

机构：

[1] Univ Sci & Tech Lille Flandres Artois, URA CNRS 0751, UFR Math, F-59655 Villeneuve Dascq, France

来源：

TOPOLOGY AND ITS APPLICATIONS | 2000年 / 102卷 / 02期

关键词：

strong category; co-H-space;

D O I：

10.1016/S0166-8641(98)00149-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we answer a question of Ganea proving that there exists a space X, without homological torsion, of cone-length (strong category) 2 such that X x X is also of cone-length 2. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：207 / 218

页数：12

共 50 条

[1] On the Ganea strong category in proper homotopy
Ayala, R
Quintero, A
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1998, 41 : 247 - 263
[2] Whitehead and Ganea constructions for fibrewise sectional category
Garcia-Calcines, Jose M.
[J]. TOPOLOGY AND ITS APPLICATIONS, 2014, 161 : 215 - 234
[3] The Ganea conjecture for rational approximations of sectional category
Carrasquel-Vera, J. G.
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2016, 220 (04) : 1310 - 1315
[4] The Ganea and Whitehead variants of the Lusternik-Schnirelmann category
Doeraene, JP
El Haouari, M
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2006, 49 (01): : 41 - 54
[5] Ganea's conjecture on Lusternik-Schnirelmann category
Iwase, N
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1998, 30 : 623 - 634
[6] RATIONAL L-S CATEGORY AND A CONJECTURE OF GANEA
JESSUP, B
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1990, 65 (01) : 57 - 67
[7] Hopf-Ganea invariants and weak LS category
Fernández-Suárez, L
Gómez-Tato, A
Tanré, D
[J]. TOPOLOGY AND ITS APPLICATIONS, 2001, 115 (03) : 305 - 316
[8] A Whitehead-Ganea approach for proper Lusternik-Schnirelmann category
Garcia-Calcines, J. M.
Garcia-Diaz, P. R.
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2007, 142 : 439 - 457
[9] RATIONAL-APPROXIMATIONS TO L-S CATEGORY AND A CONJECTURE OF GANEA
JESSUP, B
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 317 (02) : 655 - 660
[10] Ganea and Whitehead definitions for the tangential Lusternik-Schnirelmann category of foliations
Doeraene, Jean-Paul
Macias-Virgos, Enrique
Tanre, Daniel
[J]. TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (09) : 1680 - 1689

← 1 2 3 4 5 →