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Mostrando ítems 21-29 de 29
Artículo
Dwyer-Kan homotopy theory of enriched categories
(London Mathematical Society, 2015)
We construct a model structure on the category of small categories enriched over a combinatorial closed symmetric monoidal model category satisfying the monoid axiom. Weak equivalences are Dwyer–Kan equivalences, i.e. ...
Artículo
Torsion homology and cellular approximation
(Mathematical Sciences Publishers, 2019-02-06)
We describe the role of the Schur multiplier in the structure of the p-torsion of discrete groups. More concretely, we show how the knowledge of H2G allows us to approximate many groups by colimits of copies of p-groups. ...
Artículo
On determinant functors and K-theory
(Universitat Autònoma de Barcelona, 2015)
We extend Deligne’s notion of determinant functor to Waldhausen categories and (strongly) triangulated categories. We construct explicit universal determinant functors in each case, whose target is an algebraic model for ...
Artículo
Smash products for secondary homotopy groups
(Springer, 2008-10)
We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor. Applications on cup-one products, Toda brackets and Whitehead products are considered.
Artículo
Cylinders for non-symmetric DG-operads via homological perturbation theory
(Elsevier, 2016-09)
We construct small cylinders for cellular non-symmetric DG-operads over an arbitrary commutative ring by using the basic perturbation lemma from homological algebra. We show that our construction, applied to the A-infinity ...
Artículo
Entrevista a Isabel Fernández, conferenciante invitada al ICM 2010
(Real Sociedad Matematica Española, 2010)
Isabel Fernández, de la Universidad de Sevilla, es conferenciante invitada junto con Pablo Mira (Universidad Politécnica de Cartagena) a la sección de Geometría del próximo ICM, que se celebrará en agosto en Hyderabad ...
Artículo
Homotopy theory of nonsymmetric operads
(Mathematical Sciences Publishers, 2011)
We endow categories of nonsymmetric operads with natural model structures. We work with no restriction on our operads and only assume the usual hypotheses for model categories with a symmetric monoidal structure. We also ...
Tesis Doctoral
Tesis Doctoral
On homotopical algebra and quantum field theories
(2023-07-21)
Esta memoria está dedicada al estudio de la teoría de homotopía de álgebras operádicas y sus aplicaciones en teoría cuántica de campos (qft por sus siglas en inglés). Para ello, por un lado se desarrollan herramientas ...