# Minimal periods of maps of rational exterior spaces

Fundamenta Mathematicae (2000)

- Volume: 163, Issue: 2, page 99-115
- ISSN: 0016-2736

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topGraff, Grzegorz. "Minimal periods of maps of rational exterior spaces." Fundamenta Mathematicae 163.2 (2000): 99-115. <http://eudml.org/doc/212438>.

@article{Graff2000,

abstract = {The problem of description of the set Per(f) of all minimal periods of a self-map f:X → X is studied. If X is a rational exterior space (e.g. a compact Lie group) then there exists a description of the set of minimal periods analogous to that for a torus map given by Jiang and Llibre. Our approach is based on the Haibao formula for the Lefschetz number of a self-map of a rational exterior space.},

author = {Graff, Grzegorz},

journal = {Fundamenta Mathematicae},

keywords = {periodic points; minimal period; cohomology algebra; Lefschetz number; transversal map; periodic point},

language = {eng},

number = {2},

pages = {99-115},

title = {Minimal periods of maps of rational exterior spaces},

url = {http://eudml.org/doc/212438},

volume = {163},

year = {2000},

}

TY - JOUR

AU - Graff, Grzegorz

TI - Minimal periods of maps of rational exterior spaces

JO - Fundamenta Mathematicae

PY - 2000

VL - 163

IS - 2

SP - 99

EP - 115

AB - The problem of description of the set Per(f) of all minimal periods of a self-map f:X → X is studied. If X is a rational exterior space (e.g. a compact Lie group) then there exists a description of the set of minimal periods analogous to that for a torus map given by Jiang and Llibre. Our approach is based on the Haibao formula for the Lefschetz number of a self-map of a rational exterior space.

LA - eng

KW - periodic points; minimal period; cohomology algebra; Lefschetz number; transversal map; periodic point

UR - http://eudml.org/doc/212438

ER -

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