Exploració per tema "Àlgebra homològica"
Ara es mostren els items 1-20 de 26
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A Cartan-Eilenberg approach to homotopical algebra
(2008-09-01)
Article
Accés obertIn this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms: strong and weak equivalences. These data determine the cofibrant objects ... -
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 ... -
André spectral sequences for Baues-Wirsching cohomology of categories
(2011-12-16)
Altres
Accés obertWe 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 ... -
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 ... -
Bass numbers of local cohomology of cover ideals of graphs
(2019)
Report de recerca
Accés obertWe develop splitting techniques to study Lyubeznik numbers of cover ideals of graphs which allow us to describe them for large families of graphs including forests, cycles, wheels and cactus graphs. More generally we are ... -
Bass numbers of local cohomology of cover ideals of graphs
(2020)
Article
Accés obertWe develop splitting techniques to study the Lyubeznik numbers of cover ideals of graphs which allow us to describe them for large families of graphs including forests, cycles, wheels and cactus graphs. More generally, we ... -
Cartan-Eilenberg categories and descent categories
(2009-09)
Report de recerca
Accés obertContents 1. Introduction 2. Remarks on localization of categories 3. Co¯brant objects 4. Cartan-Eilnberg categories 5. Minimal models: Sullivan categories 6. Models of functors 7. Cotriples and Cartan-Eilenberg categories -
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, ... -
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 ... -
Godement resolution and operad sheaf homotopy theory
(2017-08-08)
Article
Accés obertWe show how to induce products in sheaf cohomology for a wide variety of coefficients: sheaves of dg commutative and Lie algebras, symmetric Omega-spectra, filtered dg algebras, operads and operad algebras. -
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 Batalin-Vilkovisky algebras
(2011-03-30)
Altres
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 ... -
Local cohomology supported on monomial ideals
(2013-09-02)
Article
Accés restringit per política de l'editorial