Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Lefschetz index for orientation reversing planar homeomorphisms

Author(s): Marc Bonino
Journal: Proc. Amer. Math. Soc. 130 (2002), 2173-2177.
MSC (2000): Primary 55M20; Secondary 54H20
Posted: February 4, 2002
MathSciNet review: 1896055
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Abstract | References | Similar articles | Additional information

Abstract: We prove that an isolated fixed point of an orientation reversing homeomorphism of the plane always has Lefschetz index or $\pm 1$ .

References:

[1]: M. Brown, On the fixed points index of iterates of planar homeomorphisms, Proc. Amer. Math. Soc. 108 (1990), 1109-1114. MR 90g:54036
[2]: P. Le Calvez and J.C. Yoccoz, Un théorème d'indice pour les homéomorphismes du plan au voisinage d'un point fixe, Annals of Mathematics 146 (1997), 241-293. MR 99a:58129

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