Rodrigo Santos Monteiro

activity

20242026

collaborators

6 papers

math.CO2026

Linear arboricity conjecture for infinite graphs

Leandro Aurichi, Rodrigo Santos Monteiro, Caio Fernando Rodrigues

The linear arboricity $\la(G)$ of a graph $G$ is the least cardinality of linear forests, that is, forests of maximum degree at most $2$ , into which its edge set $E (G)$ can be deco…

math.CO2026

Kriesell's conjecture for infinite graphs

Leandro Aurichi, Paulo Magalhães Júnior, Rodrigo Santos Monteiro

Let $G$ be a graph and $S \subseteq V (G)$ be a subset of vertices. An $S$ -Steiner tree $T$ of $G$ is a tree of $G$ which contains $S$ in its vertex set $V (T)$ . Kriesell conjectured…

math.GN2026

Menger and Rothberger games on convergence spaces

Renan Maneli Mezabarba, Rodrigo Santos Monteiro

We introduce Menger and Rothberger selection principles and games for convergence spaces. Alice plays families that meet every convergent filter, and Bob's selections are required…

math.CO2025

On convergence structures in graphs

Paulo Magalhães Junior, Renan Maneli Mezabarba, Rodrigo Santos Monteiro

A closure operator on a set $X$ is a function $cl : ℘ (X) \to ℘ (X)$ satisfying, for all $A, B \subseteq X$ , the following properties: extensivity, $A \subseteq \op…

math.AT2024

Algebraic Topology Without Open Sets: A Net Approach to Homotopy Theory in Limit Spaces

Rodrigo Santos Monteiro

Convergence spaces are a generalization of topological spaces. The category of convergence spaces is well-suited for Algebraic Topology, one of the reasons is the existence of expo…

math.AT2024

Pasting and stability in convergence spaces

Renan Maneli Mezabarba, Rodrigo Santos Monteiro, Thales Fernando Vilamaior Paiva

We prove a pasting lemma for locally finite closed covers of convergence spaces with limit codomains. We also show how the validity of such lemmas characterizes limit spaces.