Exploració per tema "Algebra, Homological"
Ara es mostren els items 1-20 de 32
-
A Cartan-Eilenberg approach to homotopical algebra
(2010)
Article
Accés restringit per política de l'editorialIn this paper we propose an approach to homotopical algebra w here the basic ingredient is a category with two classes of distinguished morphisms: s trong and weak equivalences. These data determine the cofibrant objects ... -
An example of a non acyclic Koszul complex of a module
(2000)
Article
Accés obert -
André spectral sequences for Baues–Wirsching cohomology of categories
(2012-04-30)
Article
Accés restringit per política de l'editorialWe construct spectral sequences in the framework of Baues–Wirsching cohomology and homology for functors between small categories and analyze particular cases including Grothendieck fibrations. We also give applications ... -
Cell-sets and decomposition spaces
(Universitat Politècnica de Catalunya, 2020-10)
Projecte Final de Màster Oficial
Accés obertThis project, termed Cell Sets and Decomposition Spaces, is an introduction to the connections between homotopy and algebraic combinatorics. The main goal is to understand the category Cell of cell-sets and cell-maps, ... -
Characteristic cycle of local cohomology modules of monomial ideals II
(2003)
Article
Accés obert -
Characteristic cycles of local cohomology modules of monomial ideals
(1998)
Article
Accés obertBy using the theory of D-modules we express the characteristic cycle of a local cohomology module supported on a monomial ideal in terms of conormal bundles relative to a subvariety. As a consequence we can decide when a ... -
Characteristic cycles of localizations: algorithmic approach
(2004)
Article
Accés obertFor a polynomial ring R = k[x1, ..., xn], we present an algorithm for computing the characteristic cycle of the localization Rf for any nonzero polynomial f ∈ R. The approach is useful to answer certain questions regarding ... -
Colored spanning graphs for set visualization
(2018-03)
Article
Accés obertWe study an algorithmic problem that is motivated by ink minimization for sparse set visualizations. Our input is a set of points in the plane which are either blue, red, or purple. Blue points belong exclusively to the ... -
Detection of dynamical states of neuronal networks with persistent homology tools
(Universitat Politècnica de Catalunya, 2021-07)
Projecte Final de Màster Oficial
Accés obertThe Brunel network is a neuronal network model composed of excitatory and inhibitory leaky integrate-and-fire spiking neurons. This network is known to present four distinguished activity states, which can be mainly described ... -
Estructuras A-infinito en la opérada de cactus
(2012)
Comunicació de congrés
Accés restringit per política de l'editorialDiversas versiones de la opérada de cactus inicialmente definida por Voronov han sido estudiadas. Es conocida su equivalencia débil con la opérada de pequeños discos. Se conoce pues que la opérada de cactus admite una ... -
Extensions of groups
(Universitat Politècnica de Catalunya, 2018-07)
Treball Final de Grau
Accés obertA study of extensions of groups: given 2 groups G and K, I study the groups E that have K as a normal subgroup such that G = E/K. It is related with exact sequences and group cohomology. -
General persistence theory: on the course to multiparameter persistent homology
(Universitat Politècnica de Catalunya, 2022-10)
Projecte Final de Màster Oficial
Accés obertWe explore Persistence Theory in its full generality. As a particular instance, we first discuss one parameter persistence theory, which arises from uniparametric filtrations of spaces. Although enjoying many excellent ... -
Homotopy Batalin-Vilkovisky Algebras
(2012)
Article
Accés obertThis paper provides an explicit cofibrant resolution of the operad encoding Batalin-Vilkovisky algebras. Thus it defines the notion of homotopy Batalin-Vilkovisky algebras with the required homotopy properties. To define ... -
Homotopy linear algebra
(2016-02)
Report de recerca
Accés obertBy homotopy linear algebra we mean the study of linear functors between slices of the 8-category of 8-groupoids, subject to certain finiteness conditions. After some standard definitions and results, we assemble said slices ... -
Homotopy linear algebra
(2018-04)
Article
Accés obertBy homotopy linear algebra we mean the study of linear functors between slices of the 8-category of 8-groupoids, subject to certain finiteness conditions. After some standard definitions and results, we assemble said slices ... -
Improving neural networks using topological data analysis
(Universitat Politècnica de Catalunya, 2022-09)
Projecte Final de Màster Oficial
Accés obertGeneralisation measures are metrics that indicate how well a neural network will perform in presence of unknown data. Differentiable generalisation measures with respect to the parameters of a neural network that use only ... -
Linearization of local cohomology modules
(American Mathematical Society, 2003)
Capítol de llibre
Accés obertThe aim of this work is to describe the linear structure of regular holonomic $\mathcal D$-modules with support a normal crossing with variation zero introduced in [Local cohomology, arrangements of subspaces and monomial ... -
Local cohomology supported on monomial ideals
(2013-09-02)
Article
Accés restringit per política de l'editorial -
Local cohomology, arrangement of subspaces and monomial ideals
(2000)
Article
Accés obert -
Model categories and cubical descent
(2007-06-12)
Article
Accés obertWe prove that the subcategory of fibrant objects of a simplicial model category is a cohomological descent category, in the sense of Guillén and Navarro, if and only if an acyclicity criterion holds.