Minimal periods of maps of rational exterior spaces

Grzegorz Graff

Fundamenta Mathematicae (2000)

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

Abstract

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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.

How to cite

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Graff, 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 -

References

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  12. [MP] W. Marzantowicz and P. Przygodzki, Finding periodic points of a map by use of a k-adic expansion, Discrete Contin. Dynam. Systems 5 (1999), 495-514. Zbl0965.37015
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  15. [SS] M. Shub and P. Sullivan, A remark on the Lefschetz fixed point formula for differentiable maps, Topology 13 (1974), 189-191. Zbl0291.58014

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