NameMuro Jiménez, Fernando
DepartmentAlgebra
Knowledge areaÁlgebra
Professional categoryCatedrático de Universidad
E-mailRequest
           
  • No. publications

    33

  • No. visits

    4727

  • No. downloads

    6826


 

PhD Thesis
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On homotopical algebra and quantum field theories

Carmona Sánchez, Víctor; Flores Díaz, Ramón Jesús; Muro Jiménez, Fernando (2023)
Esta memoria está dedicada al estudio de la teoría de homotopía de álgebras operádicas y sus aplicaciones en teoría cuántica ...
Master's Final Project
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La sucesión espectral de Adams

Delgado Tejada, Juan Antonio; Muro Jiménez, Fernando (2022)
Without doubts, calculating homotopy groups of spheres is one of the main open problems in Algebraic Topology. After Toda ...
Master's Final Project
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Cohomology of infinity-categories

Piera Gasque, Daniel; Muro Jiménez, Fernando (2022)
En este trabajo definimos una teoría de cohomología para conjuntos simpliciales entendidos como ∞-categorías. Tras su ...
Final Degree Project
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Representaciones de Quivers

Linares Torres, Javier; Muro Jiménez, Fernando (2019)
Una representación de un quiver es una colección de espacios vectoriales y aplicaciones lineales indexadas por un grafo ...
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Homotopy theory of bicomplexes

Muro Jiménez, Fernando; Roitzheim, Constanze (Elsevier, 2019)
We define two model structures on the category of bicomplexes concentrated in the right half plane. The first model structure ...
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Torsion homology and cellular approximation

Flores Díaz, Ramón Jesús; Muro Jiménez, Fernando (Mathematical Sciences Publishers, 2019)
We describe the role of the Schur multiplier in the structure of the p-torsion of discrete groups. More concretely, we ...
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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 ...
PhD Thesis
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Derived homotopy algebras

Maes, Jeroen; Muro Jiménez, Fernando (2016)
Derived A-algebras are derived and homotopy invariant versions of differential graded algebras. They were introduced by ...
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Cylinders for non-symmetric DG-operads via homological perturbation theory

Muro Jiménez, Fernando (Elsevier, 2016)
We construct small cylinders for cellular non-symmetric DG-operads over an arbitrary commutative ring by using the basic ...
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Transfinite Adams representability

Muro Jiménez, Fernando; Raventós Morera, Oriol (Elsevier, 2016)
We consider the following problems in a well generated triangulated category T . Let α be a regular cardinal and T α ⊂ T ...
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Homotopy units in A-infinity algebras

Muro Jiménez, Fernando (American Mathematical Society, 2016)
We show that the canonical map from the associative operad to the unital associative operad is a homotopy epimorphism for ...
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On the unit of a monoidal model category

Muro Jiménez, Fernando (Elsevier, 2015)
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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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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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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Unital associahedra

Muro Jiménez, Fernando; Tonks, Andrew (De Gruyter, 2014)
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.
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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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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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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)
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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The algebra of secondary homotopy operations in ring spectra

Baues, Hans Joachim; Muro Jiménez, Fernando (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 ...
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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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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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Toda brackets and cup-one squares for ring spectra

Baues, Hans Joachim; Muro Jiménez, Fernando (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.
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The symmetric action on secondary homotopy groups

Baues, Hans Joachim; Muro Jiménez, Fernando (The Belgian Mathematical Society, 2008)
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.
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Smash products for secondary homotopy groups

Bauer, Hans Joachim; Muro Jiménez, Fernando (Springer, 2008)
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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Secondary homotopy groups

Baues, Hans Joachim; Muro Jiménez, Fernando (De Gruyter, 2008)
Secondary homotopy groups supplement the structure of classical homotopy groups. They yield a track functor on the track ...
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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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The 1-type of a Waldhausen K-theory spectrum

Muro Jiménez, Fernando; Tonks, Andrew (Elsevier, 2007)
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.
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Triangulated categories without models

Muro Jiménez, Fernando; Schwede, Stefan; Strickland, Neil (Springer, 2007)
We exhibit examples of triangulated categories which are neither the stable category of a Frobenius category nor a full ...
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On the functoriality of cohomology of categories

Muro Jiménez, Fernando (Elsevier, 2006)
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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The characteristic cohomology class of a triangulated category

Baues, Hans Joachim; Muro Jiménez, Fernando (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 category.
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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 ...
PhD Thesis
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Teoría de representaciones, invariantes cohomológicos y tipos de homotopía propia

Muro Jiménez, Fernando; Quintero Toscano, Antonio Rafael (2004)