Singh, Beenu; Singh, Davinder(Universitat Politècnica de València, 2021-10-01)
[EN] The notion of sum $ \delta $-connected proximity space which contains the category of $ \delta $-connected and locally $ \delta $-connected space is defined. Several characterizations of it are substantiated. Weaker ...
[EN] It was demonstrated in [2] that the Alexandroff duplicate of the Čech-Stone compactification of the naturals is not extremally disconnected. The question was raised as to whether the Alexandroff duplicate of a ...
Gopal, Sharan; Imam, Faiz(Universitat Politècnica de València, 2021-10-01)
[EN] In this paper, we describe the periodic points of automorphisms of a one dimensional solenoid, considering it as the inverse limit, lim←k (S 1 , γk) of a sequence (γk) of maps on the circle S 1 . The periodic points ...
Sun, Taixiang; Han, Caihong; Su, Guangwang; Qin, Bin; Li, Lue(Universitat Politècnica de València, 2021-10-01)
[EN] In this paper, we introduce the notion of ε-contractive maps in fuzzy metric space (X, M, ∗) and study the periodicities of ε-contractive maps. We show that if (X, M, ∗) is compact and f : X −→ X is ε-contractive, ...
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 ...