Ara es mostren els items 1-20 de 32

    • A Cartan-Eilenberg approach to homotopical algebra 

      Guillén Santos, Francisco; Navarro Aznar, Vicente; Pascual Gainza, Pere; Roig Martí, Agustín (2010)
      Article
      Accés restringit per política de l'editorial
      In 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 

      Planas Vilanova, Francesc d'Assís (2000)
      Article
      Accés obert
    • André spectral sequences for Baues–Wirsching cohomology of categories 

      Gálvez Carrillo, Maria Immaculada; Neumann, Frank; Tonks, Andrew (2012-04-30)
      Article
      Accés restringit per política de l'editorial
      We 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 

      Galve Regolf, Sergi (Universitat Politècnica de Catalunya, 2020-10)
      Projecte Final de Màster Oficial
      Accés obert
      This 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 

      Álvarez Montaner, Josep (2003)
      Article
      Accés obert
    • Characteristic cycles of local cohomology modules of monomial ideals 

      Álvarez Montaner, Josep (1998)
      Article
      Accés obert
      By 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 

      Álvarez Montaner, Josep; Leykin, Anton (2004)
      Article
      Accés obert
      For 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 

      Hurtado Díaz, Fernando Alfredo; Korman, Matias; Van Kreveld, Matias; Löffler, Maarten; Sacristán Adinolfi, Vera; Shioura, Akiyoshi; Silveira, Rodrigo Ignacio; Speckmann, Bettina; Tokuyama, Takeshi (2018-03)
      Article
      Accés obert
      We 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 

      Gutiérrez Von Porat, Nils (Universitat Politècnica de Catalunya, 2021-07)
      Projecte Final de Màster Oficial
      Accés obert
      The 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 

      Gálvez Carrillo, Maria Immaculada; Lombardi, Leandro; Tonks, Andrew (2012)
      Comunicació de congrés
      Accés restringit per política de l'editorial
      Diversas 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 

      Ruiz Herrero, Víctor (Universitat Politècnica de Catalunya, 2018-07)
      Treball Final de Grau
      Accés obert
      A 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 

      Lecha Sánchez, Manuel (Universitat Politècnica de Catalunya, 2022-10)
      Projecte Final de Màster Oficial
      Accés obert
      We 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 

      Gálvez Carrillo, Maria Immaculada; Tonks, Andrew; Vallette, Bruno (2012)
      Article
      Accés obert
      This 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 

      Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2016-02)
      Report de recerca
      Accés obert
      By 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 

      Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2018-04)
      Article
      Accés obert
      By 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 

      Ballester Bautista, Rubén (Universitat Politècnica de Catalunya, 2022-09)
      Projecte Final de Màster Oficial
      Accés obert
      Generalisation 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 

      Álvarez Montaner, Josep; Zarzuela Armengou, Santiago (American Mathematical Society, 2003)
      Capítol de llibre
      Accés obert
      The 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 

      Álvarez Montaner, Josep (2013-09-02)
      Article
      Accés restringit per política de l'editorial
    • Local cohomology, arrangement of subspaces and monomial ideals 

      Álvarez Montaner, Josep; García López, Ricardo; Zarzuela Armengou, Santiago (2000)
      Article
      Accés obert
    • Model categories and cubical descent 

      Rubió Pons, Llorenç (2007-06-12)
      Article
      Accés obert
      We 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.