Zobrazeno 1 - 10
of 1 881
pro vyhledávání: '"GONZALEZ, JESUS"'
For a finite group $H$ and connected topological spaces $X$ and $Y$ such that $X$ is endowed with a free left $H$-action $\tau$, we provide a geometric condition in terms of the existence of a commutative diagram of spaces (arising from the triple $(
Externí odkaz:
http://arxiv.org/abs/2411.01054
For a graph $G$, let Conf$(G,n)$ denote the classical configuration space of $n$ labelled points in $G$. Abrams introduced a cubical complex, denoted here by DConf$(G,n)$, sitting inside Conf$(G,n)$ as a strong deformation retract provided $G$ is sui
Externí odkaz:
http://arxiv.org/abs/2407.07854
We formulate a simple model for the bounded derived category of gentle algebras in terms of marked ribbon graphs and their walks, in order to analyze indecomposable objects, Auslander-Reiten triangles and homological bilinear forms, and to provide so
Externí odkaz:
http://arxiv.org/abs/2407.04817
Let $M^{(k)}_{d}(n)$ be the manifold of $n$-tuples $(x_1,\ldots,x_n)\in(\mathbb{R}^d)^n$ having non-$k$-equal coordinates. We show that, for $d\geq2$, $M^{(3)}_{d}(n)$ is rationally formal if and only if $n\leq 6$. This stands in sharp contrast with
Externí odkaz:
http://arxiv.org/abs/2401.01449
Autor:
Gonzalez, Emilio J., Gonzalez, Jesus
For a positive integer $n$ and a finite simplicial complex $K$, we describe an algorithmic procedure constructing a maximal discrete gradient field $W(K,n)$ on Abrams' discretized configuration space $\text{DConf}(K,n)$. Computer experimentation show
Externí odkaz:
http://arxiv.org/abs/2307.14454
Bidirected graphs are multigraphs where every edge has an independent direction at each end. In the paper, with an arbitrary bidirected graph we associate a non-negative integral quadratic form (called the incidence form of the graph), and determine
Externí odkaz:
http://arxiv.org/abs/2304.12555
Autor:
Peralta, Javier, Prieto, Juan A., Orozco-Sáenz, Pilar, González, Jesús, Trujillo, Gonzalo, Torres, Lucía, Sánchez, Alberto, Arnedo, Manuel
Publikováno v:
Research Notes of the AAS 7, 53 (2023)
Astronomy and astrophysics are regarded as highly motivating topics for students in primary and secondary schools, and they have been a recurrent and effective resource to inspire passion about science. In fact, during the last years we have witnesse
Externí odkaz:
http://arxiv.org/abs/2303.10010
The higher topological complexity of a space $X$, $\text{TC}_r(X)$, $r=2,3,\ldots$, and the topological complexity of a map $f$, $\text{TC}(f)$, have been introduced by Rudyak and Pave\v{s}i\'{c}, respectively, as natural extensions of Farber's topol
Externí odkaz:
http://arxiv.org/abs/2212.03441
For finite connected graphs $\Gamma$ and $G$, with $\Gamma$ admitting a free involution $\tau$, we characterize the based homotopy classes $\alpha\in[\Gamma,G]$ for which the Borsuk-Ulam property holds in the sense of Gon\c{c}alves, Guaschi and Caste
Externí odkaz:
http://arxiv.org/abs/2211.05279
Autor:
González, Emilio J., González, Jesús
We introduce an algorithm that constructs a discrete gradient field on any simplicial complex. We show that, in all situations, the gradient field is maximal possible and, in a number of cases, optimal. We make a thorough analysis of the resulting gr
Externí odkaz:
http://arxiv.org/abs/2207.07046