Geometry & Topology Volume 17, issue 5 (2013)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

About the homological discrete Conley index of isolated invariant acyclic continua

Luis Hernández-Corbato, Patrice Le Calvez and Francisco R Ruiz del Portal

Geometry & Topology 17 (2013) 2977–3026

DOI: 10.2140/gt.2013.17.2977

Bibliography

1	I K Babenko, S A Bogatyĭ, Behavior of the index of periodic points under iterations of a mapping, Izv. Akad. Nauk SSSR Ser. Mat. 55 (1991) 3 MR1130026
2	M Bonino, Lefschetz index for orientation reversing planar homeomorphisms, Proc. Amer. Math. Soc. 130 (2002) 2173 MR1896055
3	C Conley, Isolated invariant sets and the Morse index, 38, Amer. Math. Soc. (1978) MR511133
4	A Dold, Fixed point indices of iterated maps, Invent. Math. 74 (1983) 419 MR724012
5	R Easton, Isolating blocks and epsilon chains for maps, Phys. D 39 (1989) 95 MR1021184
6	A Fathi, M R Herman, Existence de difféomorphismes minimaux, from: "Dynamical systems, Vol. I", Astérisque 49, Soc. Math. France (1977) 37 MR0482843
7	J Franks, The Conley index and non-existence of minimal homeomorphisms, Illinois J. Math. 43 (1999) 457 MR1700601
8	J Franks, D Richeson, Shift equivalence and the Conley index, Trans. Amer. Math. Soc. 352 (2000) 3305 MR1665329
9	T Homma, An extension of the Jordan curve theorem, Yokohama Math. J. 1 (1953) 125 MR0058194
10	J Keesling, On the Whitehead theorem in shape theory, Fund. Math. 92 (1976) 247 MR0431156
11	P Le Calvez, F R Ruiz del Portal, J M Salazar, Indices of the iterates of ℝ³–homeomorphisms at fixed points which are isolated invariant sets, J. Lond. Math. Soc. 82 (2010) 683 MR2739062
12	P Le Calvez, J C Yoccoz, Suite des indices de Lefschetz des itérés pour un domaine de Jordan qui est un bloc isolant, unpublished
13	P Le Calvez, J C Yoccoz, Un théorème d’indice pour les homéomorphismes du plan au voisinage d’un point fixe, Ann. of Math. 146 (1997) 241 MR1477759
14	S Mardešić, J Segal, Shape theory: The inverse system approach, 26, North-Holland (1982) MR676973
15	R D Mauldin, Editor, The Scottish Book, Birkhäuser (1981) MR666400
16	K Mischaikow, M Mrozek, Conley index, from: "Handbook of dynamical systems, Vol. 2" (editor B Fiedler), North-Holland (2002) 393 MR1901060
17	N A Nikišin, Fixed points of the diffeomorphisms of the two-sphere that preserve oriented area, Funkcional. Anal. i Priložen. 8 (1974) 84 MR0346846
18	S Pelikan, E E Slaminka, A bound for the fixed point index of area-preserving homeomorphisms of two-manifolds, Ergodic Theory Dynam. Systems 7 (1987) 463 MR912377
19	F R Ruiz del Portal, J M Salazar, Fixed point index of iterations of local homeomorphisms of the plane : A Conley index approach, Topology 41 (2002) 1199 MR1923219
20	D Richeson, J Wiseman, A fixed point theorem for bounded dynamical systems, Illinois J. Math. 46 (2002) 491 MR1936931
21	J J Sánchez-Gabites, Aplicaciones de la topología geométrica y algebraica al estudio de flujos continuos en variedades, PhD Thesis, Universidad Complutense de Madrid (2008)
22	J J Sánchez-Gabites, How strange can an attractor for a dynamical system in a 3–manifold look ?, Nonlinear Anal. 74 (2011) 6162 MR2833386
23	C P Simon, A bound for the fixed-point index of an area-preserving map with applications to mechanics, Invent. Math. 26 (1974) 187 MR0353372
24	A Szymczak, A cup product pairing and time-duality for discrete dynamical systems, Topology 37 (1998) 1299 MR1632916