Buscar
Mostrando ítems 11-20 de 27
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
Toda brackets and cup-one squares for ring spectra
(Taylor & Francis, 2009)
In this paper we prove the laws of Toda brackets on the homotopy groups of a connective ring spectrum and the laws of the cup-one square in the homotopy groups of a commutative connective ring spectrum.
Artículo
Triangulated categories without models
(Springer, 2007-11)
We exhibit examples of triangulated categories which are neither the stable category of a Frobenius category nor a full triangulated subcategory of the homotopy category of a stable model category. Even more drastically ...
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.
Artículo
Secondary homotopy groups
(De Gruyter, 2008-07)
Secondary homotopy groups supplement the structure of classical homotopy groups. They yield a track functor on the track category of pointed spaces compatible with fiber sequences, suspensions and loop spaces. They also ...
Artículo
Homotopy theory of bicomplexes
(Elsevier, 2019-05)
We define two model structures on the category of bicomplexes concentrated in the right half plane. The first model structure has weak equivalences detected by the totalisation functor. The second model structure’s weak ...
Artículo
On the functoriality of cohomology of categories
(Elsevier, 2006-03)
In this paper we show that the Baues-Wirsching complex used to define cohomology of categories is a 2-functor from a certain 2-category of natural systems of abelian groups to the 2-category of chain complexes, chain ...