Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Nicolas Ariel Capitelli"'
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron: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
https://doi.org/10.1007/s00454-017-9865-z
Autor:
Nicolas Ariel Capitelli
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron: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
http://www.sciencedirect.com/science/article/pii/S0925772116300451
A generalization of a result of Dong and Santos–Sturmfels on the Alexander dual of spheres and balls
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron: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
http://www.sciencedirect.com/science/article/pii/S0097316515001284
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
http://arxiv.org/abs/1108.4955
Autor:
Scoville, Nicholas A.1 (AUTHOR), Zaremsky, Matthew C. B.2 (AUTHOR)
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 4/12/2022, Vol. 9, p135-149. 15p.
Autor:
Capitelli, Nicolas, Minian, Elias
Publikováno v:
Discrete & Computational Geometry; Jul2017, Vol. 58 Issue 1, p144-157, 14p
Autor:
Capitelli, Nicolas, Minian, Elias
Publikováno v:
Contributions to Algebra & Geometry; Mar2013, Vol. 54 Issue 1, p419-439, 21p
Autor:
Dmitry N. Kozlov
Applied topology is a modern subject which emerged in recent years at a crossroads of many methods, all of them topological in nature, which were used in a wide variety of applications in classical mathematics and beyond. Within applied topology, dis