On the group of self-homotopy equivalences of an Fo-space

被引：0

作者：

Benkhalifa, Mahmoud ^{[1
]}

机构：

[1] Univ Sharjah, Dept Math, Coll Sci, Sharjah, U Arab Emirates

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2024年 / 76卷 / 04期

关键词：

Fo-spaces; group of homotopy self-equivalences; Sullivan model; Quillen model;

D O I：

10.2969/jmsj/91249124

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

G. Lupton conjectured that the group of self-homotopy equivalences of an Fo-space inducing the identity on the homotopy groups is finite. Thus, the aim of this paper is to establish this conjecture.

引用

页码：1171 / 1186

页数：16

共 50 条

[41] ON THE GROUP OF SELF-HOMOTOPY EQUIVALENCES OF H-SPACES OF RANK-2
MIMURA, M
SAWASHITA, N
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1981, 21 (02): : 331 - 349
[42] GROUP OF SELF-HOMOTOPY EQUIVALENCES OF PRINCIPAL 3 SPHERE BUNDLES OVER 7 SPHERE
RUTTER, JW
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1978, 84 (SEP) : 303 - 311
[43] Self-homotopy equivalences which induce the identity on homology, cohomology or homotopy groups
Arkowitz, M
Maruyama, K
TOPOLOGY AND ITS APPLICATIONS, 1998, 87 (02) : 133 - 154
[44] GROUP OF HOMOTOPY EQUIVALENCES OF SPACE
ARKOWITZ, M
CURJEL, CR
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1964, 70 (02) : 293 - +
[45] SELF-HOMOTOPY EQUIVALENCES OF MOORE SPACES DEPENDING ON COHOMOTOPY GROUPS
Choi, Ho Won
Lee, Kee Young
Oh, Hyung Seok
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (05) : 1371 - 1385
[46] CERTAIN SELF-HOMOTOPY EQUIVALENCES ON WEDGE PRODUCTS OF MOORE SPACES
Choi, Ho Won
Lee, Kee Young
PACIFIC JOURNAL OF MATHEMATICS, 2014, 272 (01) : 35 - 57
[47] On spaces of self-homotopy equivalences of p-completed classifying spaces of finite groups and homotopy group extensions
Broto, C
Levi, R
TOPOLOGY, 2002, 41 (02) : 229 - 255
[48] DEFORMING SELF-HOMOTOPY EQUIVALENCES TO HOMEOMORPHISMS IN CERTAIN ASPHERICAL MANIFOLDS
RAYMOND, FA
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (06): : A618 - A618
[49] THE GROUP OF SELF-HOMOTOPY EQUIVALENCES OF A SIMPLY CONNECTED AND 4-DIMENSIONAL CW-COMPLEX
Benkhalifa, Mahmoud
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2016, 19 : 19 - 34
[50] H-spaces, semiperfect rings and self-homotopy equivalences
Franetic, Damir
Pavesic, Petar
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2011, 141 : 1263 - 1277

← 1 2 3 4 5 →