ANTONIO RODRÍGUEZ GARZÓN
PUBLICACIONES
·
A.R. Garzón. Singular extensions and the second cohomology
categorical group, Journal of Homotopy
and Related Structures (JHRS), 12
(2), 2017, pp. 447-485. DOI: 10.1007/s40062-016-0135-1.
·
A.R.
Garzón, E.M. Vitale. On the second cohomology categorical group and a Hochschild-Serre 2-
exact sequence. Theory and Applications
of Categories (T.A.C.), Vol. 30, 2015, No. 27, pp 933-984.
· A.R. Garzón, R. Pérez. A homotopy colimit theorem for diagrams of braided monoidal categories. Homology, Homotopy and Applications, 14 (1), 2012, pp.
19-32.
· P. Carrasco, A.M.
Cegarra, A.R. Garzón, Sobre el espacio clasificador
de una categoría monoidal trenzada, Pub. Univ.
Granada (Florentino García Santos: In Memoriam), 2011, pp. 51-58.
·
A.R. Garzón, A.del Río.
On algebraic K-theory categorical groups. Applied Categorical structures 19 (3), 2011, pp. 633-649.
·
P. Carrasco, A.M.
Cegarra, A.R. Garzón, Classifying spaces for
braided monoidal categories and lax diagrams of bicategories. Advances in Math. 226, 2011, pp. 419-483.
·
P. Carrasco, A.M.
Cegarra, A.R. Garzón, Nerves and classifying spaces for bicategories. Algebraic &
Geometric Topology 10, 2010, pp. 219-274.
·
P. Carrasco, A.M. Cegarra, A.R. Garzón. The classifying space of a categorical crossed module. Math.
Nachrichten 283 (4), 2010, pp.
544-567.
·
P. Carrasco, A.M. Cegarra, A.R. Garzón. The homotopy
categorical crossed module of a CW-complex. Topology and its Applications, 154 (4), 2007, pp. 834-847.
·
P. Carrasco,
A.R. Garzón, E.M. Vitale. On categorical crossed modules. Theory and Applications of Categories (T.A.C.) Vol . 16 No.
22, 2006, pp. 585-618.
·
A.R. Garzón, A.del Río. On H1 of categorical groups. Communications in Algebra. 34 , 2006, pp. 3691-3699.
·
A.M. Cegarra, A.R. Garzón. Equivariant Brauer groups and cohomology. Journal of
Algebra 296 (1), 2006, pp. 56-74.
·
A.R. Garzón, A.del Río. Equivariant extensions of categorical groups. Applied Categorical Structures 13, 2005, pp. 131-140.
·
A.R. Garzón, H. Inassaridze, A. del
Rio. Derivations of categorical
groups. Theory and
Applications of Categories (T.A.C.)
Vol 13, No. 5, 2004, pp. 86-105.
· P.
Carrasco, A. R. Garzón.
Obstruction theory
for extensions of categorical groups. Applied
Categorical Structures 12, 2004, pp. 35-61.
·
A.R. Garzón, A. del Río. Low-dimensional cohomology for categorical groups. Cahiers de Top. et Géom. Diff. Cat. Vol. XLIV-4, 2003, pp. 247-280.
·
A.M. Cegarra, A. R. Garzón. Equivariant group cohomology and Brauer group. Bulletin Belgian Math. Soc. Simon Stevin Vol 10 No 3, 2003, pp. 451-459.
·
A.M. Cegarra, A.R. Garzón. Some algebraic applications of
graded categorical group theory. Theory
and Applications of Categories (T.A.C.) Vol. 1 No. 10, 2003, pp. 215-251.
·
A. R. Garzón, A. del Río. The Whitehead categorical group of derivations. Georgian Mathematical Journal 9 (4),
2002, pp. 709-721.
·
Antonio. R. Garzón, Jesús G. Miranda,
Aurora del Río. Tensor structures on homotopy groupoids of topological
spaces. International Mathematical
Journal 2, 2002, pp. 407-431.
·
A.M. Cegarra, A.R. Garzón. Homotopy classification of
categorical torsors. Applied Categorical Structures 9, 2001, pp. 465-496.
·
A.M. Cegarra, A.R. Garzón, J.A. Ortega. Graded extensions of monoidal categories. Journal of Algebra 241, 2001, pp.
620-657.
·
Antonio R. Garzón, Hvedri Inassaridze. Semidirect products of categorical groups. Obstruction theory. Homology, Homotopy and Applications (H.H.A.)
Vol. 3, No. 6, 2001, pp. 111-138.
·
A.M. Cegarra, A.R. Garzón. Obstructions to Clifford system
extension of algebras. Proceedings of
the Indian Academy of Sciences (Math. Sciences) Vol. 111, No. 2, 2001, pp.
151-161.
·
A.R. Garzón, J.G. Miranda, R. Osorio. A simplicial description of the homotopy category of simplicial
groupoids. Theory and Applications of
Categories (T.A.C.) Vol. 7, No. 14, 2000, pp. 263-283.
·
P. Carrasco, A.R. Garzón, J.G. Miranda. Schreier theory for singular extensions of categorical groups and
homotopy classification. Communications in Algebra 28 (5),
2000, pp. 2585-2613.
· A.M. Cegarra, A.R. Garzón, A.R. Grandjean. Graded
extensions of categories. J. Pure
Appl. Algebra 154, 2000,
pp. 117-141.
· A.R.
Garzón, J.G. Miranda.
Serre homotopy theory
in subcategories of simplicial groups.
J. Pure Appl. Algebra
147, 2000, pp. 107-123.
· P.
Carrasco, A.R. Garzón, J.G. Miranda. Classification cohomologique et homotopique
des extensions singulières de Gr-catégories. C. R. Acad. Sci. Paris t. 329, Série I, 1999, pp. 107-112.
· A.R.
Garzón, J.G. Miranda.
Homotopy theory for
(braided) cat-groups. Cahiers Top. et
Géom. Diff. Catégoriques
XXXVIII-2, 1997, pp. 99-139.
·
A.R. Garzón, J.G. Miranda. Homotopy theory for truncated weak equivalences of simplicial groups. Math. Proc. Camb. Phil. Soc. 121,
1997, pp. 51-74.
· A.R.
Garzón, J.G. Miranda.
Closed model
structures for algebraic models of $r$-connected spaces. Comptes Rendus Math. Acad. Sci. Canada
XVIII (1), 1996, pp. 27-32.
· A.R.
Garzón, J.G. Miranda.
Closed model
structures for $n$-types of simplicial groups.
Comptes Rendus Math. Acad. Sci. Canada XVIII (1), 1996, pp. 33-38.
·
A.R. Garzón, J.G. Miranda.
Models for homotopy
$n$-types in diagram categories. Applied
Categorical Structures 4, 1996, pp. 213-225.
· J.G.
Cabello, A.R. Garzón.
Closed model
structures for algebraic models of $n$-types.
J. of Pure Appl. Algebra,
103, 1995, pp. 287-302.
· J.G.
Cabello, A.R. Garzón.
Quillen's theory for algebraic models of
$n$-types. Extracta
Mathematicae, 9 (1), 1994, pp. 42-47.
· M.
Bullejos, P. Carrasco, J.G. Cabello,
A.M. Cegarra, A.R. Garzón, J.G. Miranda
. Métodos homotópicos en teoría de
obstrucción algebraica. (Homenaje a Pablo Bobillo), Publicaciones Universidad de Granada,
1992, pp. 163-181.
·
A.M. Cegarra, A.R. Garzón. A long exact sequence in
non-abelian cohomology. Lecture Notes
in Mathematics (Springer) 1488, 1991, pp. 79-94.
· A.M. Cegarra, A.R. Garzón. Non-abelian
cohomology of associative algebras. The 9-term exact sequence. Cahiers de Top. et Géom. Diff. Catégoriques
XXX-4, 1989, pp. 295-338.
·
P. Carrasco, A.M. Cegarra, A.R. Garzón. An exact sequence in the first variable for non-abelian cohomology in
algebraic categories. A Mayer-Vietoris sequence for non-abelian cohomology
groups. Lecture Notes in Mathematics
(Springer) 1348, 1988, pp.72-86.
· P.
Carrasco, A.M. Cegarra, A.R. Garzón. La suite fondamentale de Hochschilds-Serre pour
la cohomologie non-abélienne des groupes II.
Comptes Rendus Acad. Sci. Paris
t. 307, Série I, 1988, pp. 71-74.
· P.
Carrasco, A.M. Cegarra, A.R. Garzón. La suite fondamentale de Hochschilds-Serre
pour la cohomologie non-abélienne des groupes I. Comptes Rendus Acad. Sci. Paris t. 305, Série I, 1987, pp. 505-508.
· A.M.
Cegarra, M. Bullejos, A.R. Garzón. Higher dimensional obstruction theory.
J. of Pure and Appl. Algebra
49, 1987, pp. 43-102.
· A.M.
Cegarra, A.R. Garzón.
La principalité dans la thèorie de l'obstruction de dimension 3. Un
allongement de la suite de cohomologie non abélienne des groupes. Comptes Rendus Acad. Sci. Paris t. 302, Série I, 15, 1986, pp. 523-526.
· A.R.
Garzón. Una
sucesión exacta en la cohomología de torsores. Actas X Jornadas Hispano-Lusas de Matemáticas. Univ. de Murcia, Sec. I, 1985, pp.
172-176.
·
A.M. Cegarra, A.R. Garzón. Sur l'annulation des groupes de cohomologie
de Shukla d'une algèbre associative à coefficients dans un module
injectif. Comptes Rendus Acad. Sci. Paris, Série I, t. 296, 1983, pp. 299-302.
·
A.R. Garzón. Una caracterización de la clase nula en el
segundo grupo de cohomología equilibrada. Actas IX Jornadas Hispano-Lusas de Matemáticas. Univ. de Salamanca, Vol. I, 1982, pp. 155-159.
· Antonio
Rodríguez Garzón.
Cohomología de álgebras. (Tesis doctoral). Publicaciones Univ. de
Granada, nº 365, 1982, 170 páginas.
·
A.M. Cegarra, A.R. Garzón. Categorías equilibradas y la sucesión de tres
términos. Actas VIII
Jornadas Hispano-Lusas de Matemáticas. Univ. de Coimbra, Vol. I, 1981, pp.91-95.