C. A. I. Zapata

activity

20242026

collaborators

6 papers

math.CO2026

Configuration sets for groups

Cesar A. Ipanaque Zapata, Alex Freitas de Campos

We develop practical tools for analyzing the configuration set $F (G, k)$ of $k \geq 2$ distinct elements in a group $G$ . We apply our results to design homogeneous linear systems in…

math.AT2026

Relative sectional number and the coincidence property

Cesar A. Ipanaque Zapata, Felipe A. Torres Estrella

For a Hausdorff space $Y$ , a topological space $X$ and a map $g : X \to Y$ , we present a connection between the relative sectional number of the first coordinate projection $Ï_{2,1}^…

math.AT2026

The Injective category number on continuous maps

Cesar A. Ipanaque Zapata, Roland Rabanal

We introduce the concept of injective category number $IC (f)$ for a continuous map $f : X \to Y$ , and present fundamental results concerning this numerical invariant. The…

math.CO2025

(Injective) hom-complexity between graphs

Cesar A. Ipanaque Zapata, JosuÃ© A. Aguirre Enciso, Wilman Francisco Cuba Ramos

We present the notion of hom-complexity, $C (G; H)$ , for two graphs $G$ and $H$ , along with basic results for this numerical invariant. This invariant $C (G; H)$ is a num…

math.AT2024

Sectional number of a morphism

Cesar A. Ipanaque Zapata

The genus of a fibration was introduced by Schwarz in 1962. Given a continuous map $g : A \to B$ , the usual sectional number $sec_{u} (g)$ is the least integer~ $m$ such that $B$ c…

math.AT2024

Topological complexity of Milnor fibration

Cesar A. Ipanaque Zapata, Taciana O. Souza

In this paper we discover a connection between the Milnor fibration theory and current research trends in topological robotics. The configuration space and workspace are often desc…