Periods of homeomorphisms on closed surfaces

Juan Luis García Guirao; Jaume Llibre

doi:10.1007/978-3-662-52927-0_13

Periods of homeomorphisms on closed surfaces

Juan Luis García Guirao, Jaume Llibre^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

Abstract

The goal of this paper is to show what information on the set of periodic points of a homeomorphism on a closed surface can be obtained using the action of this homeomorphism on the homological groups of the closed surface.

Original language	English
Pages (from-to)	171-178
Number of pages	8
Journal	Springer Proceedings in Mathematics and Statistics
DOIs	https://doi.org/10.1007/978-3-662-52927-0_13
Publication status	Published - 2016

Keywords

Closed surface
Homeomorphism
Period
Periodic point

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10.1007/978-3-662-52927-0_13

https://ddd.uab.cat/record/221039

Cite this

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title = "Periods of homeomorphisms on closed surfaces",

abstract = "The goal of this paper is to show what information on the set of periodic points of a homeomorphism on a closed surface can be obtained using the action of this homeomorphism on the homological groups of the closed surface.",

keywords = "Closed surface, Homeomorphism, Period, Periodic point",

author = "Guirao, \{Juan Luis Garc{\'i}a\} and Jaume Llibre",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 2016.",

year = "2016",

doi = "10.1007/978-3-662-52927-0\_13",

language = "English",

pages = "171--178",

journal = "Springer Proceedings in Mathematics and Statistics",

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TY - JOUR

T1 - Periods of homeomorphisms on closed surfaces

AU - Guirao, Juan Luis García

AU - Llibre, Jaume

N1 - Publisher Copyright: © Springer-Verlag Berlin Heidelberg 2016.

PY - 2016

Y1 - 2016

N2 - The goal of this paper is to show what information on the set of periodic points of a homeomorphism on a closed surface can be obtained using the action of this homeomorphism on the homological groups of the closed surface.

AB - The goal of this paper is to show what information on the set of periodic points of a homeomorphism on a closed surface can be obtained using the action of this homeomorphism on the homological groups of the closed surface.

KW - Closed surface

KW - Homeomorphism

KW - Period

KW - Periodic point

UR - https://www.scopus.com/pages/publications/84994834795

U2 - 10.1007/978-3-662-52927-0_13

DO - 10.1007/978-3-662-52927-0_13

M3 - Article

AN - SCOPUS:84994834795

SN - 2194-1009

SP - 171

EP - 178

JO - Springer Proceedings in Mathematics and Statistics

JF - Springer Proceedings in Mathematics and Statistics

ER -

Periods of homeomorphisms on closed surfaces

Abstract

Keywords

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