Category
Category theory
Related publications (62)
Combinatorial presentation of multidimensional persistent homology
A multifiltration is a functor indexed by Nr that maps any morphism to a monomorphism. The goal of this paper is to describe in an explicit and combinatorial way the natural Nr-graded R[x(1),...x(r)]-module structure on the homology of a multifiltration of ...
Elsevier2017An Accelerator for High Efficient Vision Processing
Paolo Ienne, Robert Fasthuber, Zidong Du, Qi Guo
In recent years, neural network accelerators have been shown to achieve both high energy efficiency and high performance for a broad application scope within the important category of recognition and mining applications. Still, both the energy efficiency a ...
Ieee-Inst Electrical Electronics Engineers Inc2017L-2-Betti Numbers Of Rigid C*-Tensor Categories And Discrete Quantum Groups
We compute the L-2-Betti numbers of the free C*-tensor categories, which are the representation categories of the universal unitary quantum groups A(u)(F). We show that the L-2-Betti numbers of the dual of a compact quantum group G are equal to the L-2-Bet ...
Mathematical Science Publ2017An improvement on the number of simplices in F-q(d)
Let epsilon be a set of points in F-q(d). Bennett et al. (2016) proved that if \epsilon\ >> [GRAHICS] then epsilon determines a positive proportion of all k-simplices. In this paper, we give an improvement of this result in the case when epsilon is the Car ...
Elsevier Science Bv2017Waldhausen K-theory of spaces via comodules
Let X be a simplicial set. We construct a novel adjunction be- tween the categories RX of retractive spaces over X and ComodX+ of X+- comodules, then apply recent work on left-induced model category structures [5], [16] to establish the existence of a left ...
Academic Press Inc Elsevier Science2016Bipolar Lightning Flashes Observed at the Säntis Tower: Do We Need to Modify the Traditional Classification?
Mario Paolone, Marcos Rubinstein, Mohammad Azadifar, Davide Pavanello
We present and discuss current waveforms associated with 13 bipolar lightning flashes recorded at the Santis Tower during the period from June 2010 to January 2015. During this period, a total of 427 flashes were recorded, of which 13 (3%) were classified ...
American Geophysical Union2016The representation theory of finite sets and correspondences
We investigate correspondence functors, namely the functors from the category of finite sets and correspondences to the category of k-modules, where k is a commutative ring. They have various specific properties which do not hold for other types of functor ...
2015Kan spectra, group spectra and twisting structures
Kan spectra provide a combinatorial model for the stable homotopy category. They were introduced by Dan Kan in 1963 under the name semisimplicial spectra. A Kan spectrum is similar to a pointed simplicial set, but it has simplices in negative degrees as we ...
EPFL2015Conditionally flat functors on spaces and groups
Consider a fibration sequence of topological spaces which is preserved as such by some functor , so that is again a fibration sequence. Pull the fibration back along an arbitrary map into the base space. Does the pullback fibration enjoy the same property? ...
Springer-Verlag Italia Srl2015Left-induced model structures and diagram categories
Kathryn Hess Bellwald, Varvara Karpova, Magdalena Kedziorek
We prove existence results à la Jeff Smith for left-induced model category structures, of which the injective model structure on a diagram category is an important example. We further develop the notions of fibrant generation and Postnikov presentation fro ...
2015