Ara es mostren els items 1-11 de 11

• A Cartan-Eilenberg approach to homotopical algebra ﻿

(2008-09-01)
Article
Accés obert
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 ﻿

(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 ...
• A model for non-free circle actions ﻿

(1997)
Article
Accés obert
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 ﻿

(Universitat Politècnica de Catalunya, 2002)
Llibre
Accés restringit a la comunitat UPC
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 ﻿

(2017-08-08)
Article
Accés obert
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 ﻿

(2014-09)
Article
Accés restringit per política de l'editorial
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 ﻿

(2003)
Article
Accés obert
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 ﻿

(2004)
Article
Accés obert
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 ﻿

(2016-12-12)
Report de recerca
Accés obert
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 ...
• Topologia ﻿

(Edicions UPC, 2004)
Llibre
Accés restringit a la comunitat UPC
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 ...
• Up-to-homotopy algebras with strict units ﻿

(2018-12-20)
Report de recerca
Accés obert
We prove the existence of minimal models à la Sullivan for operads with non trivial arity zero. So up-to-homotopy algebras with strict units are just operad algebras over these minimal models. As an application we give ...