NILPOTENCY OF SELF HOMOTOPY EQUIVALENCES WITH COEFFICIENTS

被引：2

作者：

Cuvilliez, Maxence ^{[1
]}

Murillo, Aniceto ^{[1
]}

Viruel, Antonio ^{[1
]}

机构：

[1] Univ Malaga, Dept Algebra Geometria & Topol, Malaga 29080, Spain

来源：

ANNALES DE L INSTITUT FOURIER | 2011年 / 61卷 / 01期

关键词：

Self homotopy equivalence; SPACES;

D O I：

10.5802/aif.2604

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the nilpotency of certain groups of self homotopy equivalences. Our main goal is to extend, to localized homotopy groups and/or hornotopy groups with coefficients, the general principle of Dror and Zabrodsky by which a group of self homotopy equivalences of a finite complex which acts nilpotently Del the hotnotopy groups is itself nilpotent.

引用

页码：351 / 364

页数：14

共 26 条

[21] ON HOMOTOPY NILPOTENCY OF THE OCTONIAN PLANE OP2 [J].

Golasinski, Marek .

MATHEMATICA SCANDINAVICA, 2021, 127 (03) :458-472

[22] Inessential directed maps and directed homotopy equivalences [J].

Raussen, Martin .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021, 151 (04) :1383-1406

[23] Realization of 2-solvable nilpotent groups as groups of classes of homotopy self-equivalences [J].

Federinov, Julien ;

Felix, Yves .

TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (12) :2425-2433

[24] On Localized Unstable K1-groups and Applications to Self-homotopy Groups [J].

Kishimoto, Daisuke ;

Kono, Akira ;

Tsutaya, Mitsunobu .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2014, 57 (02) :344-356

[25] FINITE COMPLEXES WHOSE SELF-HOMOTOPY EQUIVALENCE GROUPS REALIZE THE INFINITE CYCLIC GROUP [J].

MARUYAMA, KI .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1994, 37 (04) :534-536

[26] On the group of self-homotopy equivalence of a formal F0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F_{0}$$\end{document}-space [J].

Mahmoud Benkhalifa .

Bollettino dell'Unione Matematica Italiana, 2023, 16 (3) :641-647

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