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Mostrando ítems 1-10 de 17
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 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
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
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)
Artículo
Transfinite Adams representability
(Elsevier, 2016-04-09)
We consider the following problems in a well generated triangulated category T . Let α be a regular cardinal and T α ⊂ T the full subcategory of α-compact objects. Is every functor H : (T α) op → Ab that preserves products ...
Artículo
Homotopy units in A-infinity algebras
(American Mathematical Society, 2016-03)
We show that the canonical map from the associative operad to the unital associative operad is a homotopy epimorphism for a wide class of symmetric monoidal model categories. As a consequence, the space of unital associative ...
Artículo
On the unit of a monoidal model category
(Elsevier, 2015-08-15)
In this paper we show how to modify cofibrations in a monoidal model category so that the tensor unit becomes cofibrant while keeping the same weak equivalences. We obtain aplications to enriched categories and coloured ...
Artículo
Moduli spaces of algebras over non-symmetric operads
(2014)
In this paper we study spaces of algebras over an operad (nonsymmetric) in symmetric monoidal model categories. We first compute the homotopy fiber of the forgetful functor sending an algebra to its underlying object, ...
Artículo
Unital associahedra
(De Gruyter, 2014-03)
We construct a topological cellular operad such that the algebras over its cellular chains are the homotopy unital A∞-algebras of Fukaya-Oh-Ohta-Ono.