On the forcing relation for surface homeomorphisms
Publications Mathématiques de l'IHÉS (1997)
- Volume: 85, page 5-61
- ISSN: 0073-8301
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topLos, Jérôme. "On the forcing relation for surface homeomorphisms." Publications Mathématiques de l'IHÉS 85 (1997): 5-61. <http://eudml.org/doc/104120>.
@article{Los1997,
author = {Los, Jérôme},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {forcing relation for periodic orbits of surface homeomorphisms; braid type},
language = {eng},
pages = {5-61},
publisher = {Institut des Hautes Études Scientifiques},
title = {On the forcing relation for surface homeomorphisms},
url = {http://eudml.org/doc/104120},
volume = {85},
year = {1997},
}
TY - JOUR
AU - Los, Jérôme
TI - On the forcing relation for surface homeomorphisms
JO - Publications Mathématiques de l'IHÉS
PY - 1997
PB - Institut des Hautes Études Scientifiques
VL - 85
SP - 5
EP - 61
LA - eng
KW - forcing relation for periodic orbits of surface homeomorphisms; braid type
UR - http://eudml.org/doc/104120
ER -
References
top- [ALM] L. ALSEDA, J. LLIBRE, M. MISIUREWICZ, Combinatorial dynamics and entropy in dimension one, World scientific, Advanced series in non linear dynamics, vol. 5 (1993). Zbl0843.58034MR95j:58042
- [AF] D. ASIMOV, J. FRANKS, Unremovable closed orbits, Lect. Notes in Math., vol. 1007 (1981) ; revised version (1989). Zbl0521.58047MR86a:58083
- [BH1] M. BESTVINA, M. HANDEL, Train tracks for surface homeomorphisms, Topology 34 (1995), 109-140. Zbl0837.57010MR96d:57014
- [BH2] M. BESTVINA, M. HANDEL, Train tracks and automorphisms of free groups, Ann. Math. 135 (1992), 1-51. Zbl0757.57004MR92m:20017
- [Bi] J. BIRMAN, Braids, links and mapping classgroups, Ann. of Math. Studies 82 (1974), Princeton Univ. Press. Zbl0305.57013MR51 #11477
- [BK] J. BIRMAN, M. KIRDWELL, Fixed points of pseudo-Anosov diffeomorphisms of surfaces, Adv. in Math. 46 (1982), 73-98. Zbl0508.55001MR84b:58090
- [BGMY] L. BLOCK, J. GUCKENHEIMER, M. MISIUREWICZ, L. YOUNG, Periodic points and topological entropy of one-dimensional maps, Lect. Notes in Math. 819 (1980). Zbl0447.58028MR82j:58097
- [Bo] P. BOYLAND, Notes on dynamics of surface homeomorphisms, Preprint, Warwick (1989).
- [Di] W. DICKS, Groups, trees and projective modules, Lect. Notes in Math. 790 (1980). Zbl0427.20016MR82j:20079
- [FLP] A. FATHI, F. LAUDENBACH, V. POENARU, Travaux de Thurston sur les surfaces, Astérisque, vol. 66-67 (1979). Zbl0406.00016MR82m:57003
- [Fe] J. FEHRENBACH, Roots of surface homeomorphisms, Preprint, INLN (1997).
- [FM] J. FRANKS, M. MISIUREWICZ, Cycles for disk homeomorphisms and thick trees, Contemp. Math. 152 (1993), 69-139. Zbl0793.58029MR95e:58133
- [GST] J. M. GAMBAUDO, S. VAN STRIEN, C. TRESSER, The periodic orbit structure of orientation-preserving diffeomorphisms of D2 with topological entropy zero, Ann. Inst. H. Poincaré (phys. théo.) 49 (1989), 335-356. Zbl0701.58030MR90j:57008
- [GL] F. GAUTERO, J. LOS, Combinatorial suspension for disk homeomorphisms, Preprint, INLN, 1996. Zbl0958.37012
- [Hal] T. HALL, Unremovable periodic orbits of homeomorphisms, Math. Proc. Phil. Soc. 110 (1991), 523-531. Zbl0751.58031MR92i:58146
- [Lo1] J. LOS, Knots, braid index and dynamical type, Topology 33 (1994), 257-270. Zbl0828.57006MR95h:57007
- [Lo2] J. LOS, Pseudo-Anosov maps and invariant train tracks in the disk : a finite algorithm, Proc. Lond, Math. Soc. (3), 66 (1993), 400-430. Zbl0788.58039MR93k:57067
- [Lo3] J. LOS, On the conjugacy problem for automorphisms of free groups, Topology 35 (1996), 779-806. Zbl0858.20022MR97h:20031
- [Lu] M. LUSTIG, Automorphisms, train tracks and non-simplicial R-tree actions, Preprint, Bochum (1993).
- [Ma] T. MATSUOKA, The number and linking of periodic solutions of periodic systems, Invent. Math. 20 (1983), 319-340. Zbl0538.34025MR84g:58093
- [Mo] H. MORTON, Infinitely many fibered knots having the same Alexander polynomial, Topology 17 (1978), 101-104. Zbl0383.57005MR81e:57007
- [Oe] U. OERTEL, Incompressible branched surfaces, Invent. Math. 76 (1984), 385-410. Zbl0539.57006MR86a:57007
- [Pe] R. PENNER (with Harer), Combinatorics of train tracks, Ann. Math. Studies, 125 (1992), Princeton Univ. Press. Zbl0765.57001MR94b:57018
- [Sha] A. N. SHARKOVSKII, On the coexistence of cycles of a continuous map of a line into itself, Ukr. Math. Z. 16 (1964), 61-71. MR96j:58058
- [Shu] M. SHUB, Stabilité globale des systèmes dynamiques, Astérisque, vol. 56 (1978). Zbl0396.58014MR80c:58015
- [Sm] J. SMILLIES, Periodic points of surface homeomorphisms with zero entropy, Erg. Theo. Dyn. Syst. 3 (1983), 315-334. Zbl0536.58026MR86i:58107
- [St] J. R. STALLINGS, Topology of finite graphs, Invent. Math. 71 (1983), 551-565. Zbl0521.20013MR85m:05037a
- [Th1] W. THURSTON, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. A.M.S. 19 (1988), 415-431. Zbl0674.57008MR89k:57023
- [Th2] W. THURSTON, On the geometry and topology of three manifolds, Preprint, Princeton (1977).
- [W] R. S. WILLIAMS, One dimensional non-wandering sets, Topology 6 (1967), 473-487. Zbl0159.53702MR36 #897
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