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Listar Algebra por autor "Muro Jiménez, Fernando"
Mostrando ítems 1-20 de 29
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2º Congreso de Jóvenes Investigadores
Gancedo García, Francisco; Muro Jiménez, Fernando (Real Sociedad Matematica Española, 2013) -
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A note on K-theory and triangulated derivators
Muro Jiménez, Fernando; Raptis, George (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 ...
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Cylinders for non-symmetric DG-operads via homological perturbation theory
Muro Jiménez, Fernando (Elsevier, 2016-09)We construct small cylinders for cellular non-symmetric DG-operads over an arbitrary commutative ring by using the basic ...
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Dwyer-Kan homotopy theory of enriched categories
Muro Jiménez, Fernando (London Mathematical Society, 2015)We construct a model structure on the category of small categories enriched over a combinatorial closed symmetric monoidal ...
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Entrevista a Isabel Fernández, conferenciante invitada al ICM 2010
Muro Jiménez, Fernando (Real Sociedad Matematica Española, 2010)Isabel Fernández, de la Universidad de Sevilla, es conferenciante invitada junto con Pablo Mira (Universidad Politécnica ...
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Homotopy theory of bicomplexes
Muro Jiménez, Fernando; Roitzheim, Constanze (Elsevier, 2019-05)We define two model structures on the category of bicomplexes concentrated in the right half plane. The first model ...
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Homotopy theory of non-symmetric operads, II: Change of base category and left properness
Muro Jiménez, Fernando (Mathematical Sciences Publishers, 2014)We prove, under mild assumptions, that a Quillen equivalence between symmetric monoidal model categories gives rise to a ...
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Homotopy theory of nonsymmetric operads
Muro Jiménez, Fernando (Mathematical Sciences Publishers, 2011)We endow categories of nonsymmetric operads with natural model structures. We work with no restriction on our operads and ...
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Homotopy units in A-infinity algebras
Muro Jiménez, Fernando (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 ...
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K-theory of derivators revisited
Muro Jiménez, Fernando; Raptis, George (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 ...
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Maltsiniotis's first conjecture for K1
Muro Jiménez, Fernando (Duke University Press, 2008)We show that K1(E) of an exact category E agrees with K1(DE) of the associated triangulated derivator DE. More generally ...
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Moduli spaces of algebras over non-symmetric operads
Muro Jiménez, Fernando (2014)In this paper we study spaces of algebras over an operad (nonsymmetric) in symmetric monoidal model categories. We first ...
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On determinant functors and K-theory
Muro Jiménez, Fernando; Tonks, Andrew; Witte, Malte (Universitat Autònoma de Barcelona, 2015)We extend Deligne’s notion of determinant functor to Waldhausen categories and (strongly) triangulated categories. We ...
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Tesis Doctoral
On homotopical algebra and quantum field theories
Carmona Sánchez, Víctor (2023-07-21)Esta memoria está dedicada al estudio de la teoría de homotopía de álgebras operádicas y sus aplicaciones en teoría ...
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On the functoriality of cohomology of categories
Muro Jiménez, Fernando (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 ...
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On the unit of a monoidal model category
Muro Jiménez, Fernando (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 ...
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Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology
Muro Jiménez, Fernando (Springer, 2004)In this paper we determine the representation type of some algebras of infinite matrices continuously controlled at infinity ...
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Secondary homotopy groups
Baues, Hans Joachim; Muro Jiménez, Fernando (De Gruyter, 2008-07)Secondary homotopy groups supplement the structure of classical homotopy groups. They yield a track functor on the track ...
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Smash products for secondary homotopy groups
Bauer, Hans Joachim; Muro Jiménez, Fernando (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.
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Tesis Doctoral
Teoría de representaciones, invariantes cohomológicos y tipos de homotopía propia
Muro Jiménez, Fernando (2004)