ORIENTATION-PRESERVING SELF-HOMEOMORPHISMS OF THE SURFACE OF GENUS-2 HAVE POINTS OF PERIOD-AT-MOST-2

Authors
DICKS W LLIBRE J
Citation
W. Dicks et J. Llibre, ORIENTATION-PRESERVING SELF-HOMEOMORPHISMS OF THE SURFACE OF GENUS-2 HAVE POINTS OF PERIOD-AT-MOST-2, Proceedings of the American Mathematical Society, 124(5), 1996, pp. 1583-1591
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
5
Year of publication
1996
Pages
1583 - 1591
Database
ISI
SICI code
0002-9939(1996)124:5<1583:OSOTSO>2.0.ZU;2-4
Abstract
We show that for any orientation-preserving self-homeomorphism alpha o f the double torus Sigma(2) there exists a point p of Sigma(2) such th at alpha(alpha(p)) = p: This answers a question raised by Jakob Nielse n in 1942.