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Mostrando ítems 1-10 de 29
Artículo
Homotopy theory of non-symmetric operads, II: Change of base category and left properness
(Mathematical Sciences Publishers, 2014)
We prove, under mild assumptions, that a Quillen equivalence between symmetric monoidal model categories gives rise to a Quillen equivalence between their model categories of (non-symmetric) operads, and also between model ...
Artículo
The symmetric action on secondary homotopy groups
(The Belgian Mathematical Society, 2008-11)
We show that the symmetric track groups Sym(n), which are extensions of the symmetric groups Sym(n) associated to the second Stiefel-Whitney class, act as crossed modules on the secondary homotopy groups of a pointed space.
Artículo
The algebra of secondary homotopy operations in ring spectra
(London Mathematical Society, 2011)
The primary algebraic model of a ring spectrum R is the ring π∗R of homotopy groups. We introduce the secondary model π∗,∗R which has the structure of a secondary analogue of a ring. The homology of π∗,∗R is π∗R and ...
Artículo
Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology
(Springer, 2004)
In this paper we determine the representation type of some algebras of infinite matrices continuously controlled at infinity by a compact metrizable space. We explicitly classify their finitely presented modules in the ...
Artículo
K-theory of derivators revisited
(Mathematical Sciences Publishers, 2017)
We define a K-theory for pointed right derivators and show that it agrees with Waldhausen K-theory in the case where the derivator arises from a good Waldhausen category. This K-theory is not invariant under general ...
Artículo
The 1-type of a Waldhausen K-theory spectrum
(Elsevier, 2007-12-01)
We give a small functorial algebraic model for the 2-stage Postnikov section of the K-theory spectrum of a Waldhausen category and use our presentation to describe the multiplicative structure with respect to biexact functors.
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 ...
Artículo
The characteristic cohomology class of a triangulated category
(2005)
The concept of a triangulated homotopy category can be canonically lifted to the level of a groupoid-enriched category. This way two natural axioms on track triangles replace the four somewhat obscure axioms of a triangulated ...
Artículo
A note on K-theory and triangulated derivators
(Elsevier, 2011-08-01)
In this paper we show an example of two differential graded algebras that have the same derivator K-theory but non-isomorphic Waldhausen K-theory. We also prove that Maltsiniotis’s comparison and localization conjectures ...
Artículo
2º Congreso de Jóvenes Investigadores
(Real Sociedad Matematica Española, 2013)