Pajoohesh, Homeira(Universitat Politècnica de València, 2024-10-01)
[EN] If f : X → X is a function, the associated functional Alexandroff topology on X is the topology whose closed sets are {A ⊆ X : f(A) ⊆ A}. We prove that every functional Alexandroff topology is pseudopartial metrizable ...
Al-Shorman, Tamem; Bataineh, Malik; Bolat, Melis; Ersoy, Bayram Ali(Universitat Politècnica de València, 2024-10-01)
[EN] In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime ...
Miranda, Annamaria(Universitat Politècnica de València, 2024-10-01)
[EN] In this paper we introduce some weak dynamical properties by using subbases for the phase space. Among them, the notion of light chaos is the most significant. Several examples, which clarify the relationships between ...
Sarkar, Susmita; Bal, Prasenjit; Datta, Mithun(Universitat Politècnica de València, 2024-10-01)
[EN] In this article, we introduce the ideal star-Rothberger property by coupling the notion of a star operator to that of an ideal Rothberger space, after which some of its topological characteristics are analysed. By ...
Camargo, Javier; Ordoñez, Norberto; Ramírez, Diego(Universitat Politècnica de València, 2024-10-01)
[EN] Given a metric continuum X, we consider the collection of all regular subcontinua of X and the collection of all meager subcontinua of X, these hyperspaces are denoted by D(X) and M(X), respectively. It is known that ...