EQUIVARIANT FIXED-POINT THEORY

被引：2

作者：

Ponto, Kate ^{[1
]}

机构：

[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2015年 / 17卷 / 02期

关键词：

Lefschetz number; Reidemeister trace; fixed point; equivariant homotopy; HOMOTOPY; TRACES;

D O I：

10.4310/HHA.2015.v17.n2.a9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We reexamine equivariant generalizations of the Lefschetz number and Reidemeister trace using categorical traces. This gives simple, conceptual descriptions of the invariants as well as direct comparisons to previously defined generalizations. These comparisons are illuminating applications of the additivity and multiplicativity of the categorical trace.

引用

页码：161 / 190

页数：30

共 50 条

[31] FIXED-POINT THEORY IN SEMIMETRIC SPACE
GHOSHAL, SK
CHATTERJ.M
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A152 - A153
[32] 2 VIGNETTES IN FIXED-POINT THEORY
FADELL, E
[J]. TOPOLOGICAL FIXED POINT THEORY AND APPLICATIONS, 1989, 1411 : 46 - 51
[33] Fixed-Point Theory in the Varieties Dn
Frittella, Sabine
Santocanale, Luigi
[J]. RELATIONAL AND ALGEBRAIC METHODS IN COMPUTER SCIENCE (RAMICS 2014), 2014, 8428 : 446 - 462
[34] A fixed-point property of finitely generated groups and an energy of equivariant maps
Izeki, Hiroyasu
[J]. PROBABILISTIC APPROACH TO GEOMETRY, 2010, 57 : 171 - 188
[35] ONE-PARAMETER FIXED-POINT THEORY
DIMOVSKI, D
GEOGHEGAN, R
[J]. FORUM MATHEMATICUM, 1990, 2 (02) : 125 - 154
[36] GENERAL SETTING FOR LOCAL FIXED-POINT THEORY
KNILL, RJ
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1975, 54 (04): : 389 - 428
[37] APPROXIMATION METHOD IN ASYMPTOTIC FIXED-POINT THEORY
STEINLEIN, H
[J]. MATHEMATISCHE ANNALEN, 1974, 211 (03) : 199 - 218
[38] EXAMPLES AND QUESTIONS IN THE THEORY OF FIXED-POINT SETS
MARTIN, JR
NADLER, SB
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1979, 31 (05): : 1017 - 1032
[39] COMPLETE EULER CHARACTERISTICS AND FIXED-POINT THEORY
BROWN, KS
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1982, 24 (02) : 103 - 121
[40] RETRACTION METHODS IN NIELSEN FIXED-POINT THEORY
BROWN, RF
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1984, 115 (02) : 277 - 297

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