García-Máynez, Adalberto(Universitat Politècnica de València, 2007-10-01)

[EN] Wallman bases are frequently used in compactification processes of topological spaces. However, they are also related with quasi–uniform structures and they are useful to characterize some topological properties. We ...

Petrenko, Oleksandr; Protasov, Igor V.; Slobodianiuk, Sergii(Editorial Universitat Politècnica de València, 2014-10-01)

[EN] A ballean is a set X endowed with some family F of its subsets, called the balls, in such a way that (X,F) can be considered as an asymptotic counterpart of a uniform topological space. Given a cardinal k, we define ...

González-Silva, R.A.; Hrusák, M.(Universitat Politècnica de València, 2009-10-01)

[EN] Two different open-point games are studied here, the G-game and the Gp-game, defined for each p ∈ ω∗. We prove that for each p ∈ ω∗, there exists a space in which none of the players of the Gp-game has a winning ...

Protasov, Igor V.(Universitat Politècnica de València, 2021-10-01)

[EN] Given a coarse space (X, E), we endow X with the discrete topology and denote X ♯ = {p ∈ βG : each member P ∈ p is unbounded }. For p, q ∈ X ♯ , p||q means that there exists an entourage E ∈ E such that E[P] ∈ q for ...