Concept

Abstract simplicial complex

Publications associées (37)

The Homotopy Theory Of Coalgebras Over Simplicial Comonads

Kathryn Hess Bellwald, Magdalena Kedziorek

We apply the Acyclicity Theorem of Hess, Kedziorek, Riehl, and Shipley (recently corrected by Garner, Kedziorek, and Riehl) to establishing the existence of model category structure on categories of coalgebras over comonads arising from simplicial adjuncti ...

INT PRESS BOSTON, INC2019

Unique decomposition of homogeneous languages and application to isothetic regions

Nicolas René Jean Ninin

A language is said to be homogeneous when all its words have the same length. Homogeneous languages thus form a monoid under concatenation. It becomes freely commutative under the simultaneous actions of every permutation group G(n) on the collection of ho ...

2019

A higher homotopic extension of persistent (co)homology

Our objective is to show a possibly interesting structure of homotopic nature appearing in persistent (co)homology. Assuming that the filtration of a simplicial set embedded in induces a multiplicative filtration on the dg algebra of simplicial cochains, w ...

2018

Combinatorial presentation of multidimensional persistent homology

Martina Scolamiero

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 ...

Elsevier2017

A versatile route to homo- and hetero-bimetallic 5f–5f and 3d–5f complexes supported by a redox active ligand framework

Marinella Mazzanti, Julie Renée Michelle Andrez, Davide Toniolo

The salt-elimination reaction of the complex [Na2U(bis-salophen)] with metal halides provides an entry to the synthesis of well-defined homobimetallic uranium–uranium and rare heterobimetallic uranium–cobalt and uranium–nickel complexes supported by a redo ...

2017

MATHICSE Technical Report : Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method

Alfio Quarteroni, Andrea Manzoni, Stefano Pagani

The efficient solution of coupled PDEs/ODEs problems arising in cardiac electrophysiology is of key importance whenever interested to study the electrical behavior of the tissue for several instances of relevant physical and/or geometrical parameters. This ...

MATHICSE2017

High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation

Alfio Quarteroni, Carlo Marcati

In this work we apply the discontinuous Galekin (dG) spectral element method on meshes made of simplicial elements for the approximation of the elastodynamics equation. Our approach combines the high accuracy of spectral methods, the geometrical flexibilit ...

Springer Verlag2016

Waldhausen K-theory of spaces via comodules

Kathryn Hess Bellwald

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 Science2016

High-Precision MRI Reconstruction Algorithm for 3D Sphere Packings

Daniele Mari, Arnaud Comment, Riccardo Balzan, Alessandro Luigi Sellerio

Packings of granular materials are complex systems consisting of large sets of particles interacting via contact forces. Their internal structure is interesting for several theoretical and practical reasons, especially when the model system consists in a l ...

Springer Verlag2015

Polynomial-Time Computation Of Homotopy Groups And Postnikov Systems In Fixed Dimension

For several computational problems in homotopy theory, we obtain algorithms with running time polynomial in the input size. In particular, for every fixed k >= 2, there is a polynomial-time algorithm that, for a 1-connected topological space X given as a f ...

Siam Publications2014

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