Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Macías Virgos, Enrique"'
We introduce two novel complementary notions of the Lefschetz number for a functor from a finite acyclic category to itself and we prove a Lefschetz fixed-object theorem and a Lefschetz fixed-morphism theorem. In order to do so, we use the connection
Externí odkaz:
http://arxiv.org/abs/2404.06573
We define a relative cup product in the De Rham cohomology of any diffeological space. To do it, two different versions of the relative De Rham cohomology groups are presented. As an application, we define the cohomological Lusternik-Schnirelmann cat
Externí odkaz:
http://arxiv.org/abs/2306.06478
We prove a version of the Mayer-Vietoris sequence for De Rham differential forms in diffeological spaces. It is based on the notion of a generating family instead of that of a covering by open subsets.
Comment: 12 pages. Version 2: we corrected
Comment: 12 pages. Version 2: we corrected
Externí odkaz:
http://arxiv.org/abs/2209.05537
Publikováno v:
Indag. Math 31 (2020) n{\deg}6 968-983
In the Stiefel manifold $X_{n,k}$, we replace Frankel linear height function by a quadratic one. We prove this is still a Morse-Bott function, whose structure of critical levels presents a dichotomy according to the sign of $n-2k$. The critical subma
Externí odkaz:
http://arxiv.org/abs/2004.05454
Publikováno v:
In Topology and its Applications 1 November 2023 339 Part A
Publikováno v:
In Indagationes Mathematicae July 2023 34(4):661-672
Autor:
Fernández-Ternero, Desamparados, Macías-Virgós, Enrique, Scoville, Nicholas A., Vilches, José Antonio
We prove a discrete version of the Lusternik-Schnirelmann theorem for discrete Morse functions and the recently introduced simplicial Lusternik-Schnirelmann category of a simplicial complex. To accomplish this, a new notion of critical object of a di
Externí odkaz:
http://arxiv.org/abs/1612.08840
Publikováno v:
J. Geom. and Phys. 123 (2018) 53-60
We define a Cayley transform on Stiefel manifolds. Applications to the Lusternik-Schnirelmann category and optimisation problems are presented.
Externí odkaz:
http://arxiv.org/abs/1612.07142
The simplicial LS-category of a finite abstract simplicial complex is a new invariant of the strong homotopy type, defined in purely combinatorial terms, that generalizes to arbitrary simplicial complexes the well known notion of arboricity of a grap
Externí odkaz:
http://arxiv.org/abs/1605.01322
Publikováno v:
Publicacions Matemàtiques, 2019 Jan 01. 63(1), 265-293.
Externí odkaz:
https://www.jstor.org/stable/26860740