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Convex hyperspaces of probability measures and extensors in the asymptotic category
Compact convex set probability measure asymptotically zero-dimensional space absolute extensor
2011/8/26
Abstract: The objects of the Dranishnikov asymptotic category are proper metric spaces and the morphisms are asymptotically Lipschitz maps. In this paper we provide an example of an asymptotically zer...
Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms
Logarithmic tensor category theory, VI: Expansion condition associativity of logarithmic intertwining operators associativity isomorphisms
2011/2/23
This is the sixth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (...
In the category of relative categories the Rezk equivalences are exactly the DK-equivalences
category of relative categories Rezk equivalences exactly the DK-equivalences
2011/1/19
In a previous paper we lifted Charles Rezk’s complete Segal model structure on the category of simplicial spaces to a Quillen equivalent one on the category of “relative categories” and our aim in thi...
The groupoidal analogue Theta~ to Joyal's category Theta is a test category
1-category 1-groupoid cellular category décalage
2011/2/23
We introduce the groupoidal analogue e to Joyal’s cellular category and we prove that e is a strict test category in the sense of Grothendieck.
Integral cluster categories of acyclic quivers have recently been used in the representation-theoretic approach to quantum cluster algebras. We show that over a principal ideal domain, such categories...
An Alternative Presentation of the Symmetric-Simplicial Category
Alternative Presentation Symmetric-Simplicial Category
2011/1/19
t0, 1, . . . nuto include all functions between the same sets. Marco Grandis [Gra01a] has given a presentation of Fin using the standard generators di and si of Ord as well as the adjacent transpositi...
Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions
Logarithmic tensor category theory Constructions of tensor product bifunctors and the compatibility conditions
2011/2/23
This is the fourth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper ...
Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors
Logarithmic tensor category theory Intertwining maps and tensor product bifunctors
2011/2/23
This is the third part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (...
Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators
Logarithmic tensor category theory Logarithmic formal calculus properties of logarithmic intertwining operators
2011/2/23
This is the second part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper ...
A note on the Wehrheim-Woodward category
symplectic manifold canonical relation lagrangian submanifold
2011/1/17
Wehrheim and Woodward have shown how to embed all the canoni-cal relations between symplectic manifolds into a category in which the composition is the usual one when transversality and embedding assu...
Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules
Logarithmic tensor category theory for generalized modules conformal vertex algebra Introduction strongly graded algebras generalized modules
2011/2/23
This is the first part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra.
Time and category information in pattern-based codes
category information pattern-based codes
2011/1/5
Sensory stimuli are usually composed of different features (the what) appearing at irregular times (the when). Neural responses often use spike patterns to represent sensory information. The what is h...
Autoequivalences of the tensor category of Uq(g)-modules
Autoequivalences tensor category of Uq(g)-modules
2011/2/24
We prove that for q 2 C not a nontrivial root of unity the cohomology group defined by invariant 2-cocycles in a completion of Uqg is isomorphic to H2(P/Q; T), where P and Q are the weight and root l...
Time and category information in pattern-based codes
category information pattern-based codes
2011/1/4
Sensory stimuli are usually composed of different features (the what) appearing at irregular times (the when). Neural responses often use spike patterns to represent sensory information. The what is h...
Closed-Form Solutions to A Category of Nuclear Norm Minimization Problems
Closed-Form Solutions Nuclear Norm Minimization Problems
2010/11/24
It is an efficient and effective strategy to utilize the nuclear norm approximation to learn low-rank matrices, which arise frequently in machine learning and computer vision. So the exploration of n...