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Ayala, Rafael

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Author ID: ayala.rafael Recent zbMATH articles by "Ayala, Rafael"
Published as: Ayala, R.; Ayala, Rafael
External Links: ORCID
Documents Indexed: 53 Publications since 1985, including 1 Book
all top 5

Serials

3 Discrete Applied Mathematics
3 Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. Serie 2
3 Topology and its Applications
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Cahiers de Topologie et Géométrie Différentielle Catégoriques
2 Proceedings of the Edinburgh Mathematical Society. Series II
1 Communications in Algebra
1 Discrete Mathematics
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Rocky Mountain Journal of Mathematics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. (Serie Nouă.) Secţiunea Ia. Matematică-Informatică
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Collectanea Mathematica
1 Colloquium Mathematicum
1 Glasgow Mathematical Journal
1 Mathematica Japonica
1 Mathematica Scandinavica
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Theoretical Computer Science
1 Tsukuba Journal of Mathematics
1 Questions and Answers in General Topology
1 Publicacions Matemàtiques
1 Mathematica Bohemica
1 Mathematica Pannonica
1 Glasnik Matematički. Serija III
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică
1 Congressus Numerantium
1 The Electronic Journal of Combinatorics
1 Discrete and Continuous Dynamical Systems
1 Bulletin of the Brazilian Mathematical Society. New Series

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 101 times in 52 Documents Cited by Year
A theoretical framework for proper homotopy theory. Zbl 0708.55017
Ayala, R.; Quintero, A.; Dominguez, E.
10
1990
Homotopy in digital spaces. Zbl 1010.68200
Ayala, R.; Domínguez, E.; Francés, A. R.; Quintero, A.
10
2003
Properly \(3\)-realizable groups. Zbl 1062.57001
Ayala, R.; Cárdenas, M.; Lasheras, F. F.; Quintero, A.
8
2005
A note on the pure Morse complex of a graph. Zbl 1185.57002
Ayala, R.; Fernández, L. M.; Quintero, A.; Vilches, J. A.
6
2008
Digital lighting functions. Zbl 0886.68130
Ayala, R.; Domínguez, E.; Francés, A. R.; Quintero, A.
5
1997
Lusternik-Schnirelmann invariants in proper homotopy. Zbl 0723.55002
Ayala, R.; Márquez, A.; Quintero, A.; Domínguez, E.
5
1991
Weak lighting functions and strong 26-surfaces. Zbl 1050.68144
Ayala, R.; Domínguez, E.; Francés, A. R.; Quintero, A.
5
2002
Morse inequalities on certain infinite 2-complexes. Zbl 1129.57005
Ayala, R.; Fernández, L. M.; Vilches, J. A.
5
2007
On the Ganea strong category in proper homotopy. Zbl 0898.55003
Ayala, R.; Quintero, A.
4
1998
A Hahn-Mazurkiewicz theorem for generalized Peano continua. Zbl 0957.54015
Ayala, R.; Chávez, M. J.; Quintero, A.
4
1998
Discrete Morse theory on graphs. Zbl 1186.05086
Ayala, R.; Fernández, L. M.; Fernández-Ternero, D.; Vilches, J. A.
4
2009
The equivariant category of proper \(G\)-spaces. Zbl 1039.55002
Ayala, R.; Lasheras, F. F.; Quintero, A.
4
2001
Perfect discrete Morse functions on triangulated 3-manifolds. Zbl 1357.57054
Ayala, Rafael; Fernández-Ternero, Desamparados; Vilches, José Antonio
3
2012
Proper homotopy classification of graphs. Zbl 0686.05020
Ayala, R.; Domínguez, E.; Márquez, A.; Quintero, A.
3
1990
On the planarity of Peano generalized continua: An extension of a theorem of S. Claytor. Zbl 0923.54028
Ayala, R.; Chávez, M. J.; Quintero, A.
2
1998
Homotopy in digital spaces. Zbl 1043.68783
Ayala, Rafael; Domínguez, Eladio; Francés, Angel R.; Quintero, Antonio
2
2000
Digital homotopy with obstacles. Zbl 1077.68106
Ayala, R.; Domínguez, E.; Francés, A. R.; Quintero, A.
2
2004
Discrete gradient fields on infinite complexes. Zbl 1230.55011
Ayala, Rafael; Vilches, Jose Antonio; Jerše, Gregor; Kosta, Neža Mramor
2
2011
An elementary approach to the projective dimension in proper homotopy theory. Zbl 1035.18008
Ayala, R.; Cárdenas, M.; Muro, F.; Quintero, A.
2
2003
Homology decompositions in proper homotopy. Zbl 0853.55013
Ayala, R.; Cárdenas, M.; Quintero, A.
1
1995
A new linear time planarity algorithm for \(2\)-complexes. Zbl 0844.68089
Ayala, R.; Cáceres, J.; Márquez, A.; Quintero, A.
1
1994
On the connectivity of infinite graphs and 2-complexes. Zbl 0929.05050
Ayala, R.; Chávaz, M. J.; Márquez, A.; Quintero, A.
1
1999
On the proper planarity of 3-connected generalized Peano continua. Zbl 0949.54047
Ayala, R.; Chávez, M. J.; Márquez, A.; Quintero, A.
1
1998
Hurewicz theorem for homology at infinity. Zbl 0805.55007
Ayala, R.; Domínguez, E.; Quintero, A.
1
1993
On the graphs which are the edge of a plane tiling. Zbl 0846.05022
Ayala, R.; Domínguez, E.; Márquez, A.; Quintero, A.
1
1995
Moore spaces in proper homotopy. Zbl 0867.55012
Ayala, R.; Domínguez, E.; Márquez, A.; Quintero, A.
1
1995
Characterizing equivalent discrete Morse functions. Zbl 1181.57031
Ayala, R.; Fernández, L. M.; Vilches, J. A.
1
2009
The number of critical elements of discrete Morse functions on non-compact surfaces. Zbl 1189.57002
Ayala, R.; Fernández, L. M.; Vilches, J. A.
1
2010
Discrete Morse inequalities on infinite graphs. Zbl 1182.05088
Ayala, Rafael; Fernández, Luis M.; Vilches, José A.
1
2009
The number of excellent discrete Morse functions on graphs. Zbl 1228.05268
Ayala, R.; Fernández-Ternero, D.; Vilches, J. A.
1
2011
A graph-theoretical approach to cancelling critical elements. Zbl 1268.05219
Ayala, R.; Fernández-Ternero, D.; Vilches, J. A.
1
2011
Critical elements of proper discrete Morse functions. Zbl 1199.05064
Ayala, Rafael; Fernández, Luis M.; Vilches, José A.
1
2008
On the connectivity of skeletons of pseudomanifolds with boundary. Zbl 1003.05066
Ayala, R.; Chávez, M. J.; Márquez, A.; Quintero, A.
1
2002
Proper homotopy exact sequences for proper fibrations. Zbl 0676.55015
Ayala, R.; Dominguez, E.; Quintero, A.
1
1989
Perfect discrete Morse functions on triangulated 3-manifolds. Zbl 1357.57054
Ayala, Rafael; Fernández-Ternero, Desamparados; Vilches, José Antonio
3
2012
Discrete gradient fields on infinite complexes. Zbl 1230.55011
Ayala, Rafael; Vilches, Jose Antonio; Jerše, Gregor; Kosta, Neža Mramor
2
2011
The number of excellent discrete Morse functions on graphs. Zbl 1228.05268
Ayala, R.; Fernández-Ternero, D.; Vilches, J. A.
1
2011
A graph-theoretical approach to cancelling critical elements. Zbl 1268.05219
Ayala, R.; Fernández-Ternero, D.; Vilches, J. A.
1
2011
The number of critical elements of discrete Morse functions on non-compact surfaces. Zbl 1189.57002
Ayala, R.; Fernández, L. M.; Vilches, J. A.
1
2010
Discrete Morse theory on graphs. Zbl 1186.05086
Ayala, R.; Fernández, L. M.; Fernández-Ternero, D.; Vilches, J. A.
4
2009
Characterizing equivalent discrete Morse functions. Zbl 1181.57031
Ayala, R.; Fernández, L. M.; Vilches, J. A.
1
2009
Discrete Morse inequalities on infinite graphs. Zbl 1182.05088
Ayala, Rafael; Fernández, Luis M.; Vilches, José A.
1
2009
A note on the pure Morse complex of a graph. Zbl 1185.57002
Ayala, R.; Fernández, L. M.; Quintero, A.; Vilches, J. A.
6
2008
Critical elements of proper discrete Morse functions. Zbl 1199.05064
Ayala, Rafael; Fernández, Luis M.; Vilches, José A.
1
2008
Morse inequalities on certain infinite 2-complexes. Zbl 1129.57005
Ayala, R.; Fernández, L. M.; Vilches, J. A.
5
2007
Properly \(3\)-realizable groups. Zbl 1062.57001
Ayala, R.; Cárdenas, M.; Lasheras, F. F.; Quintero, A.
8
2005
Digital homotopy with obstacles. Zbl 1077.68106
Ayala, R.; Domínguez, E.; Francés, A. R.; Quintero, A.
2
2004
Homotopy in digital spaces. Zbl 1010.68200
Ayala, R.; Domínguez, E.; Francés, A. R.; Quintero, A.
10
2003
An elementary approach to the projective dimension in proper homotopy theory. Zbl 1035.18008
Ayala, R.; Cárdenas, M.; Muro, F.; Quintero, A.
2
2003
Weak lighting functions and strong 26-surfaces. Zbl 1050.68144
Ayala, R.; Domínguez, E.; Francés, A. R.; Quintero, A.
5
2002
On the connectivity of skeletons of pseudomanifolds with boundary. Zbl 1003.05066
Ayala, R.; Chávez, M. J.; Márquez, A.; Quintero, A.
1
2002
The equivariant category of proper \(G\)-spaces. Zbl 1039.55002
Ayala, R.; Lasheras, F. F.; Quintero, A.
4
2001
Homotopy in digital spaces. Zbl 1043.68783
Ayala, Rafael; Domínguez, Eladio; Francés, Angel R.; Quintero, Antonio
2
2000
On the connectivity of infinite graphs and 2-complexes. Zbl 0929.05050
Ayala, R.; Chávaz, M. J.; Márquez, A.; Quintero, A.
1
1999
On the Ganea strong category in proper homotopy. Zbl 0898.55003
Ayala, R.; Quintero, A.
4
1998
A Hahn-Mazurkiewicz theorem for generalized Peano continua. Zbl 0957.54015
Ayala, R.; Chávez, M. J.; Quintero, A.
4
1998
On the planarity of Peano generalized continua: An extension of a theorem of S. Claytor. Zbl 0923.54028
Ayala, R.; Chávez, M. J.; Quintero, A.
2
1998
On the proper planarity of 3-connected generalized Peano continua. Zbl 0949.54047
Ayala, R.; Chávez, M. J.; Márquez, A.; Quintero, A.
1
1998
Digital lighting functions. Zbl 0886.68130
Ayala, R.; Domínguez, E.; Francés, A. R.; Quintero, A.
5
1997
Homology decompositions in proper homotopy. Zbl 0853.55013
Ayala, R.; Cárdenas, M.; Quintero, A.
1
1995
On the graphs which are the edge of a plane tiling. Zbl 0846.05022
Ayala, R.; Domínguez, E.; Márquez, A.; Quintero, A.
1
1995
Moore spaces in proper homotopy. Zbl 0867.55012
Ayala, R.; Domínguez, E.; Márquez, A.; Quintero, A.
1
1995
A new linear time planarity algorithm for \(2\)-complexes. Zbl 0844.68089
Ayala, R.; Cáceres, J.; Márquez, A.; Quintero, A.
1
1994
Hurewicz theorem for homology at infinity. Zbl 0805.55007
Ayala, R.; Domínguez, E.; Quintero, A.
1
1993
Lusternik-Schnirelmann invariants in proper homotopy. Zbl 0723.55002
Ayala, R.; Márquez, A.; Quintero, A.; Domínguez, E.
5
1991
A theoretical framework for proper homotopy theory. Zbl 0708.55017
Ayala, R.; Quintero, A.; Dominguez, E.
10
1990
Proper homotopy classification of graphs. Zbl 0686.05020
Ayala, R.; Domínguez, E.; Márquez, A.; Quintero, A.
3
1990
Proper homotopy exact sequences for proper fibrations. Zbl 0676.55015
Ayala, R.; Dominguez, E.; Quintero, A.
1
1989

Citations by Year