Orientation-preserving self-homeomorphisms of the surface of genus two have points of period at most two

Warren Dicks; Jaume Llibre

doi:10.1090/S0002-9939-96-03131-0

Orientation-preserving self-homeomorphisms of the surface of genus two have points of period at most two

Warren Dicks, Jaume Llibre

Department of Mathematics

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

6 Citations (Scopus)

Abstract

We show that for any orientation-preserving self-homeomorphism a of the double torus ∑2 there exists a point p of ∑2 such that α(α(p)) = p. This answers a question raised by Jakob Nielsen in 1942. © 1096 American Mathematical Society.

Original language	English
Pages (from-to)	1583-1591
Journal	Proceedings of the American Mathematical Society
Volume	124
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9939-96-03131-0
Publication status	Published - 1 Dec 1996

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title = "Orientation-preserving self-homeomorphisms of the surface of genus two have points of period at most two",

abstract = "We show that for any orientation-preserving self-homeomorphism a of the double torus ∑2 there exists a point p of ∑2 such that α(α(p)) = p. This answers a question raised by Jakob Nielsen in 1942. {\textcopyright} 1096 American Mathematical Society.",

author = "Warren Dicks and Jaume Llibre",

year = "1996",

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AU - Dicks, Warren

AU - Llibre, Jaume

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N2 - We show that for any orientation-preserving self-homeomorphism a of the double torus ∑2 there exists a point p of ∑2 such that α(α(p)) = p. This answers a question raised by Jakob Nielsen in 1942. © 1096 American Mathematical Society.

AB - We show that for any orientation-preserving self-homeomorphism a of the double torus ∑2 there exists a point p of ∑2 such that α(α(p)) = p. This answers a question raised by Jakob Nielsen in 1942. © 1096 American Mathematical Society.

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DO - 10.1090/S0002-9939-96-03131-0

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EP - 1591

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 5

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Orientation-preserving self-homeomorphisms of the surface of genus two have points of period at most two

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