23 citations · 31 across the 10 of their papers we have counts for
11 papers
On the second Feng-Rao distance of Algebraic Geometry codes related to Arf semigroups
J. I. Farrán, P. A. García-Sánchez, B. A. Heredia
We describe the second (generalized) Feng-Rao distance for elements in an Arf numerical semigroup that are greater than or equal to the conductor of the semigroup. This provides a…
On the representations of 2-groups in {Baez-Crans} 2-vector spaces
Benjamín Alarcón Heredia, Josep Elgueta
We prove that the theory of representations of a finite 2-group in Baez-Crans 2-vector spaces over a field of characteristic zero essentially reduces to the theory…
Parametrizing Arf numerical semigroups
P. A. García-Sánchez, B. A. Heredia, H. İ. Karakaş +1
We present procedures to calculate the set of Arf numerical semigroups with given genus, given conductor and given genus and conductor. We characterize the Kunz coordinates of an A…
The second Feng-Rao number for codes coming from telescopic semigroups
José I. Farrán, P. A. García-Sánchez, B. A. Heredia +1
In this manuscript we show that the second Feng-Rao number of any telescopic numerical semigroup agrees with the multiplicity of the semigroup. To achieve this result we first stud…
Homotopy colimits of 2-functors
A. M. Cegarra, B. A. Heredia
Like categories, small 2-categories have well-understood classifying spaces. In this paper, we deal with homotopy types represented by 2-diagrams of 2-categories. Our results exten…
On the third cohomology group of commutative monoids
María Calvo-Cervera, Antonio M. Cegarra, Benjamín A. Heredia
We interpret Grillet's symmetric thrid cohomology classes of commutative monoids in terms of strictly symmetric monoidal abelian groupoids. We state and prove a classification resu…
Bicategorical homotopy pullbacks
A. M. Cegarra, B. A. Heredia, J. Remedios
The homotopy theory of higher categorical structures has become a relevant part of the machinery of algebraic topology and algebraic K-theory, and this paper contains contributions…
Bicategorical homotopy fiber sequences
M. Calvo, A. M. Cegarra, B. A. Heredia
Small Bénabou's bicategories and, in particular, Mac Lane's monoidal categories, have well-understood classifying spaces, which give geometric meaning to their cells. This paper co…
Structure and classification of monoidal groupoids
María Calvo, Antonio M. Cegarra, Benjamín A. Heredia
The structure of monoidal categories in which every arrow is invertible is analyzed in this paper, where we develop a 3-dimensional Schreier-Grothendieck theory of non-abelian fact…
Geometric Realizations of Tricategories
Antonio M. Cegarra, Benjamín A. Heredia
Any tricategory characteristically has associated various simplicial or pseudo-simplicial objects. This paper explores the relationship amongst three of them: the pseudo-simplicial…
Double groupoids and homotopy 2-types
Antonio M. Cegarra, Benjamín A. Heredia, Josué Remedios
This work contributes to clarifying several relationships between certain higher categorical structures and the homotopy types of their classifying spaces. Double categories (Ehres…