Topological horseshoes for surface homeomorphisms-Reference-Cited by-同舟云学术

Topological horseshoes for surface homeomorphisms

Published:2022-09-01 Issue:12 Volume:171 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Le Calvez Patrice¹,Tal Fabio²

Affiliation:

1. Institut de Mathématiques de Jussieu–Paris Rive Gauche, Sorbonne Université, CNRS, Paris, France; Institut Universitaire de France, Paris, France

2. Institute of Mathematics and Statistics, University of São Paulo, São Paulo, Brazil; Institute of Mathematics, Friedrich Schiller University, Jena, Germany

Publisher

Duke University Press

Subject

General Mathematics

Reference37 articles.

1. S. B. ANGENENT, “A remark on the topological entropy and invariant circles of an area preserving twistmap” in Twist Mappings and Their Applications, IMA Vol. Math. Appl. 44, Springer, New York, 1992, 1–5.

2. M. C. ARNAUD, Création de connexions en topologie ${C^{1}}$ , Ergodic Theory Dynam. Systems 21 (2001), no. 2, 339–381.

3. M. BARGE and R. M. GILLETTE, Rotation and periodicity in plane separating continua, Ergodic Theory Dynam. Systems 11 (1991), no. 4, 619–631.

4. F. BÉGUIN, S. CROVISIER, and F. LE ROUX, Construction of curious minimal uniquely ergodic homeomorphisms on manifolds: The Denjoy-Rees technique, Ann. Sci. Éc. Norm. Supér. (4) 40 (2007), no. 2, 251–308.

5. F. BÉGUIN, S. CROVISIER, and F. LE ROUX, Fixed point sets of isotopies on surfaces, J. Eur. Math. Soc. (JEMS) 22 (2020), no. 6, 1971–2046.

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