Now showing items 1-20 of 54

• #### An A(infinity)Operad in Spineless Cacti ﻿

(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 ...
• #### An A-infinity operad in spineless cacti ﻿

(2015-04-17)
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, ...
• #### André spectral sequences for Baues-Wirsching cohomology of categories ﻿

(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 ﻿

(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 ﻿

(Universitat Politècnica de Catalunya. Institut de Ciències de l'Educació, 2012-06-29)
Conference lecture
Open Access
• #### Apunts de probabilitat i estadística ﻿

(Universitat Politècnica de Catalunya, 2013)
Lecture notes
Open Access
• #### CÀLCUL (Examen 1r quadrimestre, 1r parcial) ﻿

(Universitat Politècnica de Catalunya, 2013-11-07)
Exam
• #### CÀLCUL (Examen 1r quadrimestre, 1r parcial) ﻿

(Universitat Politècnica de Catalunya, 2014-11-05)
Exam
• #### CÀLCUL (Examen 1r quadrimestre, 2n parcial) ﻿

(Universitat Politècnica de Catalunya, 2014-01-16)
Exam
• #### CÀLCUL (Examen 1r quadrimestre, 2n parcial) ﻿

(Universitat Politècnica de Catalunya, 2015-01-08)
Exam
• #### Central cohomology operations and K-theory ﻿

(2012-04)
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 ...
• #### Central cohomology operations and K-theory ﻿

(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 ...
• #### Decomposition Spaces and Incidence (Co)Algebras . ﻿

(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 ﻿

(Oxford University Press, 2020-11)
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 in combinatorics ﻿

(2016-12)
Research report
Open Access
A decomposition space (also called unital 2-Segal space) is a simplicial object satisfying an exactness condition weaker than the Segal condition: just as the Segal condition expresses (up to homotopy) composition, the new ...
• #### Decomposition spaces, incidence algebras and Mobius inversion II: Completeness, length filtration, and finiteness ﻿

(2018-07-31)
Article
Open Access
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 Mobius inversion III: the decomposition space of Möbius intervals ﻿

(2018-08-20)
Article
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 (CULF) between decomposition spaces induce ...
• #### Decomposition spaces, incidence algebras and Möbius inversion ﻿

(2014-04-11)
Research report
Open Access
• #### Decomposition spaces, incidence algebras and Möbius inversion I: basic theory ﻿

(2015-12)
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 ﻿

(2018-06-20)
Article
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 ...