List
of papers (from
2001).
--------------------------------------
Dynamical systems. Fixed point theory.
1)Lefschetz index of arbitrary
planar homeomorphisms at isolated invariant continua (with J. M. Salazar, preprint.)
2)
Estimating basins of attraction (with L. Hernández-Corbato,
preprint).
3)
Stable sets of planar homeomorphism with translation pseudo-arcs (DCDS-S.
(2017) accepted)
4)
Uniqueness of dynamical zeta functions and symmetric products (with E. Blanco,
J. Hernández-Corbato, J. Fixed Point Theory Appl.
(2016). )
5)
Index 1 fixed points of orientation
reversing planar homeomorphisms (with J.M. Salazar)(Topological
Methods in Nonlinear Analysis, 2015)
6)
Fixed
point indices of continuous planar maps (with Luis Hernández-Corbato) (Discrete and Continuous Dynamical Systems A, 35
(2015) 2979 – 2995.
7)
Cech cohomology
of attractors of discrete dynamical systems (with J.J. Sánchez-Gabites)(Journal of Diff.
Equations, 257 (2014) 2826-2845.)
8)
About the homological discrete Conley index of
isolated invariant acyclic continua (with L. Hernández-Corbato
and P. Le Calvez)(Geometry
& Topology 17, 5 (2013) 2977-3026).
9)
Attractors with irrational rotation number (with
L. Hernández-Corbato and R. Ortega) (Math. Proc.
Cambridge Phil. Soc. 153, No 1 (2012) 59-77).
10)
Attractors with vanishing rotation number (with R.
Ortega) (Journal European Math. Soc. 13
(2011) 1567-1588).
11)
Local fixed point indices of iterations of planar
maps (with G. Graff and P. Nowak-Przygodzki). (J. Dynamics and Diff. Equations, 23 (2011)
213-223).
12) Pointed shape and global attractors for metrizable spaces (with A. Giraldo,
R. Jiménez, M.A. Morón and J.M.R. Sanjurjo).
(Topology and its Appl. 158, (2011)
167-176).
13)
Fixed point indices of the iterates
of R3-homeomorphisms at fixed points which are isolated invariant
sets (with P. Le Calvez and J. M.
Salazar) (Journal of the London Math. Soc.
82 (2) (2010) 683-696).
14)
Realization of all Dold’s
congruences with stability (with J.M Salazar)
(Journal of Differential Equations, 249 (2010) 989-1013).
(Fixed
Point Theory and its Appl. ID233069 (2010) 1-31).
16)
Indices of the iterates of R3-homeomorphisms
at Lyapunov stable fixed points (with J.M. Salazar)
(Journal
of Differential Equations, 244, 5 (2008) 1141-1156).
17)
A
note about the shape of attractors of discrete semidynamical
systems (with M.A. Morón)
(Proceedings
of the American Mathematical Society, 134 (2006) 2165-2167).
18)
A
stable/unstable manifold theorem for local homeomorphisms of the plane (with
J.M. Salazar)
(Ergodic
Theory and Dynamical Systems, 25 (2005) 301-317).
19)
Shape of global attractors in topological spaces (with A. Giraldo,
M.A. Morón and J.M.R. Sanjurjo)
(Nonlinear
Analysis. Theory, Methods and Appl. 60 (2005) 837-847).
20)
Planar isolated and stable fixed points have index =1
(Journal
of Differential Equations, 199, 1 (2004) 179-188).
21)
Fixed point index and decompositions of planar invariant compacta (with J.M.
Salazar)
(Topology
and its Applications, 141 (2004) 207-223).
22)
Generalized
Complementing maps
(Contribuciones Matemáticas. Editorial UCM. (2004)).
23) Shape index in metric spaces (with J.M. Salazar)
(Fundamenta Mathematicae, 176
(2003) 1, 47-62).
24)
Fixed point index of iterations of local homeomorphisms of the plane: a Conley
index approach (with J.M. Salazar)
(Topology,
41, 6 (2002), 1199-1212).
(Journal
of the London Mathematical Society, 64, 1 (2001) 191-204).
26)
Some duality properties of non-saddle sets (with A. Giraldo,
M.A. Morón and J.M.R. Sanjurjo)
(Topology
and its Applications, 113 (2001) 51-59).
Geometric Topology. Shape Theory.
-----------------------------------------------------------------
1) Ultrametric
spaces, valued and semivalued groups arising from the
Theory of Shape (with E. Cuchillo-Ibáñez and M.A.
Morón) Libro Homenaje al professor Joan Tarrés
(2012).
2)
Monomorphisms and epimorphims in pro-categories (with
J. Dydak)
(Topology
and its Applications, 154, 10 (2007) 2204-2222).
3)
Isomorphisms in pro-categories (with J.Dydak)
(Journal
of Pure and Applied Algebra, 190 (2004) 85-120).
4)
Finite approximations to Cech homology (with A. Giraldo, M.A. Morón and J.M.R. Sanjurjo)
(Journal
of Pure and Applied Algebra, 163, 1 (2001) 81-92).
---------------
Tesis
doctorales dirigidas.
--------------------------------------
- José
Manuel Salazar. Indice de punto fijo en hiperespacios e índice de Conley. (Premio extraordinario de Doctorado, 2001).
-Luis Hernández Corbato. On the dynamics of
homeomorphisms around fixed points in low dimension.