Now showing items 1-20 of 49

  • An A-infinity operad in spineless cacti 

    Gálvez Carrillo, Maria Immaculada (2015-04-17)
    External research report
    Open Access
    The d.g. operad C of cellular chains on the operad of spineless cacti is isomorphic to the Gerstenhaber-Voronov operad codifying the cup product and brace operations on the Hochschild cochains of an associative algebra, ...
  • An A(infinity)Operad in Spineless Cacti 

    Gálvez Carrillo, Maria Immaculada; Lombardi, Leandro; Tonks, Andrew (2015-11-01)
    Article
    Open Access
    The dg operad of cellular chains on the operad of spineless cacti of Kaufmann (Topology 46(1):39-88, 2007) is isomorphic to the Gerstenhaber-Voronov dg operad codifying the cup product and brace operations on the Hochschild ...
  • André spectral sequences for Baues-Wirsching cohomology of categories 

    Gálvez Carrillo, Maria Immaculada; Neumann, Frank; Tonks, Andrew (2011-12-16)
    Other
    Open Access
    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 ...
  • André spectral sequences for Baues–Wirsching cohomology of categories 

    Gálvez Carrillo, Maria Immaculada; Neumann, Frank; Tonks, Andrew (2012-04-30)
    Article
    Restricted access - publisher's policy
    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 ...
  • Aprenentatge actiu de conceptes en probabilitat i estadística per a l'enginyeria 

    Gálvez Carrillo, Maria Immaculada (Universitat Politècnica de Catalunya. Institut de Ciències de l'Educació, 2012-06-29)
    Conference lecture
    Open Access
  • CÀLCUL (Examen 1r quadrimestre, 1r parcial) 

    Gálvez Carrillo, Maria Immaculada (Universitat Politècnica de Catalunya, 2013-11-07)
    Exam
    Restricted access to the UPC academic community
  • CÀLCUL (Examen 1r quadrimestre, 1r parcial) 

    Gálvez Carrillo, Maria Immaculada (Universitat Politècnica de Catalunya, 2014-11-05)
    Exam
    Restricted access to the UPC academic community
  • CÀLCUL (Examen 1r quadrimestre, 2n parcial) 

    Gálvez Carrillo, Maria Immaculada (Universitat Politècnica de Catalunya, 2014-01-16)
    Exam
    Restricted access to the UPC academic community
  • CÀLCUL (Examen 1r quadrimestre, 2n parcial) 

    Gálvez Carrillo, Maria Immaculada (Universitat Politècnica de Catalunya, 2015-01-08)
    Exam
    Restricted access to the UPC academic community
  • Central cohomology operations and K-theory 

    Gálvez Carrillo, Maria Immaculada; Whitehouse, Sarah (2014-04-16)
    Article
    Open Access
    For stable degree 0 operations, and also for additive unstable operations of bidegree (0, 0), it is known that the centre of the ring of operations for complex cobordism is isomorphic to the corresponding ring of connective ...
  • Central cohomology operations and K-theory 

    Gálvez Carrillo, Maria Immaculada; Whitehouse, Sarah (2012-04)
    External research report
    Open Access
    For stable degree zero operations, and also for additive unstable operations of bidegree (0,0), it is known that the centre of the ring of operations for complex cobordism is isomorphic to the corresponding ring of connective ...
  • Decomposition Spaces and Incidence (Co)Algebras . 

    Gálvez Carrillo, Maria Immaculada (Birkhäuser Verlag, 2015)
    Conference report
    Restricted access - publisher's policy
    Decomposition spaces are simplicial 88 -groupoids with an exactness property giving coherent associativity of its objective incidence (co)algebra. Our theory encompasses the Connes–Kreimer algebra, (derived) Hall algebras ...
  • Decomposition spaces and restriction species 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (Oxford University Press, 2018-09-12)
    Article
    Open Access
    We show that Schmitt’s restriction species (such as graphs, matroids, posets, etc.) naturally induce decomposition spaces (a.k.a. unital 2-Segal spaces), and that their associated coalgebras are an instance of the general ...
  • Decomposition spaces, incidence algebras and Möbius inversion 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2014-04-11)
    External research report
    Open Access
  • Decomposition spaces, incidence algebras and Möbius inversion I: basic theory 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2015-12)
    External research report
    Open Access
    This is the first in a series of papers devoted to the theory of decomposition spaces, a general framework for incidence algebras and Möbius inversion, where algebraic identities are realised by taking homotopy cardinality ...
  • Decomposition spaces, incidence algebras and Möbius inversion I: basic theory 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2018-06-20)
    Article
    Restricted access - publisher's policy
    This is the first in a series of papers devoted to the theory of decomposition spaces, a general framework for incidence algebras and Möbius inversion, where algebraic identities are realised by taking homotopy cardinality ...
  • Decomposition spaces, incidence algebras and Möbius inversion II: completeness, length filtration, and finiteness 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2015-12)
    External research report
    Open Access
    This is part 2 of a trilogy of papers introducing and studying the notion of decomposition space as a general framework for incidence algebras and Möbius inversion, with coefficients in 8-groupoids. A decomposition space ...
  • Decomposition spaces, incidence algebras and Mobius inversion II: Completeness, length filtration, and finiteness 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2018-07-31)
    Article
    Restricted access - publisher's policy
    This is the second in a trilogy of papers introducing and studying the notion of decomposition space as a general framework for incidence algebras and Möbius inversion, with coefficients in 8-groupoids. A decomposition ...
  • Decomposition spaces, incidence algebras and Möbius inversion III: the decomposition space of Möbius intervals 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2015-12)
    External research report
    Open Access
    Decomposition spaces are simplicial 8-groupoids subject to a certain exactness condition, needed to induce a coalgebra structure on the space of arrows. Conservative ULF functors between decomposition spaces induce coalgebra ...
  • Decomposition spaces, incidence algebras and Mobius inversion III: the decomposition space of Möbius intervals 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2018-08-20)
    Article
    Restricted access - publisher's policy
    Decomposition spaces are simplicial 8-groupoids subject to a certain exactness condition, needed to induce a coalgebra structure on the space of arrows. Conservative ULF functors (CULF) between decomposition spaces induce ...