Gabriel Fernandes

works on

end spaces 1 order-theoretic trees 1 ray spaces 1 scattered spaces 1 topological games 1 ultrametric spaces 1

From the 1 of 3 linked papers with an AI index.

activity

20242026

collaborators

3 papers

math.GN2026

Ray and end spaces: characterizations and classification up to homeomorphism

Matheus Duzi, Gabriel Fernandes, Paulo MagalhÃ£es JÃºnior

The paper gives a combinatorial description of when pairs of order‑theoretic trees have homeomorphic ray spaces, using a transfinite topological game, and applies this to character…

math.LO2025

Remarks on Halin's end-degree Conjecture

Gabriel Fernandes

We prove new instances of Halin's end degree conjecture (HC) in ZFC. In particular, we show that there is a proper class of cardinals kappa for which Halin's conjecture holds, answ…

math.LO2024

Ray inflations of $ω_{1}$ -trees and ends of degree $ℵ_{1}$

Leandro Aurichi, Gabriel Fernandes, Paulo MagalhÃ£es JÃºnior +1

We prove the followings result for ray inflations of sparse graphs on $ω_{1}$ -trees. First, let $T$ and $S$ be pruned $ω_{1}$ -trees, let $G_{T}$ be a sparse $T$ -graph, and let $G_{S}$ be a…

Ray and end spaces: characterizations and classification up to homeomorphism

Remarks on Halin's end-degree Conjecture

Ray inflations of ω1​-trees and ends of degree ℵ1​

Ray inflations of $ω_{1}$ -trees and ends of degree $ℵ_{1}$