Now showing items 1-20 of 35

    • A Cartan-Eilenberg approach to homotopical algebra 

      Pascual Gainza, Pere; Roig Martí, Agustín; Guillén Santos, Francisco; Navarro Aznar, Vicente (2008-09-01)
      Article
      Open Access
      In 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 

      Guillén Santos, Francisco; Navarro Aznar, Vicente; Pascual Gainza, Pere; Roig Martí, Agustín (2010)
      Article
      Restricted access - publisher's policy
      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 ...
    • A model for non-free circle actions 

      Roig Martí, Agustín; Saralegi-Aranguren, Martintxo (1997)
      Article
      Open Access
      Let $\Phi: \Bbb S^{1}\times M\longrightarrow M$ be a smooth action of the unit circle $\Bbb S^{1}$ on a manifold $M$. In this work, we compute the minimal model of $M$ in terms of the orbit space $B$ and the fixed point ...
    • Càlcul integral per a enginyers 

      Compta Creus, Albert; Bonet Revés, Carles; Consul Porras, M. Nieves; Ollé Torner, Mercè; Roig Martí, Agustín (Universitat Politècnica de Catalunya, 2002)
      Book
      Restricted access to the UPC academic community
      El càlcul integral és una matèria bàsica dins els plans d'estudis de les enginyeries i les llicenciatures científiques. Aquest llibre és una introducció a la teoria de la integració de diverses variables i la integració ...
    • Godement resolution and operad sheaf homotopy theory 

      Rodríguez González, Beatriz; Roig Martí, Agustín (2017-08-08)
      Article
      Open Access
      We 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.
    • Godement resolutions and sheaf homotopy theory 

      Rodríguez González, Beatriz; Roig Martí, Agustín (2014-09)
      Article
      Restricted access - publisher's policy
      The Godement cosimplicial resolution is available for a wide range of categories of sheaves. In this paper we investigate under which conditions of the Grothendieck site and the category of coefficients it can be used to ...
    • Moduli spaces and formal operads 

      Guillén Santos, Francisco; Navarro, Vicenç (Navarro Aznar); Pascual Gainza, Pere; Roig Martí, Agustín (2003)
      Article
      Open Access
      Let Mg,l be the moduli space of stable algebraic curves of genus g with l marked points. With the operations which relate the different moduli spaces identifying marked points, the family (Mg,l)g,l is a modular operad ...
    • Monoidal functors, acyclic models and chain operads 

      Guillén Santos, Francisco; Navarro, Vicenç (Navarro Aznar); Pascual Gainza, Pere; Roig Martí, Agustín (2004)
      Article
      Open Access
      We prove that for a topological operad P the operad of oriented cubical chains, Cord ¤ (P), and the operad of singular chains, S¤(P), are weakly equivalent. As a consequence, Cord ¤ (P;Q) is formal if and only if S¤(P;Q) ...
    • Sullivan minimal models of operad algebras 

      Roig Martí, Agustín; Cirici, Joana (2016-12-12)
      External research report
      Open Access
      We prove the existence of Sullivan minimal models of operad algebras, for a quite wide family of operads in the category of complexes of vector spaces over a field of characteristic zero. Our construction is an adaptation ...
    • Sullivan minimal models of operad algebras 

      Cirici, Joana; Roig Martí, Agustín (2019-01-01)
      Article
      Restricted access - publisher's policy
      We prove the existence of Sullivan minimal models of operad algebras for a quite wide family of operads in the category of complexes of vector spaces over a ¿eld of characteristic zero. Our construction is an adaptation ...
    • TOPOLOGIA 

      Roig Martí, Agustín (Universitat Politècnica de Catalunya, 2011-05-30)
      Exam
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    • TOPOLOGIA 

      Roig Martí, Agustín (Universitat Politècnica de Catalunya, 2012-11-07)
      Exam
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    • TOPOLOGIA 

      Roig Martí, Agustín (Universitat Politècnica de Catalunya, 2012-01-11)
      Exam
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    • TOPOLOGIA 

      Roig Martí, Agustín (Universitat Politècnica de Catalunya, 2012-07-11)
      Exam
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    • Topologia 

      Pascual Gainza, Pere; Roig Martí, Agustín (Edicions UPC, 2004)
      Book
      Restricted access to the UPC academic community
      Aquest llibre és una introducció a la topologia pensada per a estudiants de la llicenciatura de matemàtiques. Partint dels espais mètrics, s'introdueixen els espais topològics i les aplicacions contínues entre ells, i se ...
    • TOPOLOGIA 

      Roig Martí, Agustín (Universitat Politècnica de Catalunya, 2011-03-25)
      Exam
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    • TOPOLOGIA 

      Roig Martí, Agustín (Universitat Politècnica de Catalunya, 2011-03-25)
      Exam
      Restricted access to the UPC academic community
    • TOPOLOGIA 

      Roig Martí, Agustín (Universitat Politècnica de Catalunya, 2012-06-19)
      Exam
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    • TOPOLOGIA 

      Roig Martí, Agustín (Universitat Politècnica de Catalunya, 2012-05-30)
      Exam
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    • TOPOLOGIA 

      Roig Martí, Agustín (Universitat Politècnica de Catalunya, 2013-07-11)
      Exam
      Restricted access to the UPC academic community