Výsledky vyhledávání - "Nicolas Ariel Capitelli"

A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions

Autor: Elias Gabriel Minian, Nicolas Ariel Capitelli

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET

We prove that a connected simplicial complex is uniquely determined by its complex of discrete Morse functions. This settles a question raised by Chari and Joswig. In the 1-dimensional case, this implies that the complex of rooted forests of a connec

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72c479ed4a2d7a7e8d05cce5106a6f23
https://doi.org/10.1007/s00454-017-9865-z

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The non-pure version of the simplex and the boundary of the simplex

Autor: Nicolas Ariel Capitelli

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET

We introduce the non-pure versions of simplicial balls and spheres with minimum number of vertices. These are a special type of non-homogeneous balls and spheres (NH-balls and NH-spheres) satisfying a minimality condition on the number of maximal sim

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::812a678ecafaee8a6cc8b7292c3e1003
http://www.sciencedirect.com/science/article/pii/S0925772116300451

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A generalization of a result of Dong and Santos–Sturmfels on the Alexander dual of spheres and balls

Autor: Nicolas Ariel Capitelli, Elias Gabriel Minian

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET

We prove a generalization of a result by Dong and Santos-Sturmfels about the homotopy type of the Alexander dual of balls and spheres. Our results involve NH-manifolds, which were recently introduced as the non-homogeneous (or non-pure) counterpart o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32fc48142a7db89ef711ae951da76e17
http://www.sciencedirect.com/science/article/pii/S0097316515001284

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Non-homogeneous combinatorial manifolds

Autor: Elias Gabriel Minian, Nicolas Ariel Capitelli

In this paper we extend the classical theory of combinatorial manifolds to the non-homogeneous setting. NH-manifolds are polyhedra which are locally like Euclidean spaces of varying dimensions. We show that many of the properties of classical manifol

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::813767f84a0896c3ff71f358c730a1e7
http://arxiv.org/abs/1108.4955

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