Arana, Karen; Pérez, Jerson; Uzcátegui, Carlos(Universitat Politècnica de València, 2023-10-02)
[EN] We study a property about Polish inverse semigroups similar to the classical theorem of Pettis about Polish groups. In contrast to what happens with Polish groups, not every Polish inverse semigroup have the Pettis ...
Bisht, Ravindra K.(Universitat Politècnica de València, 2023-10-02)
[EN] In this paper, we prove some fixed point theorems for Lipschitz type mappings in the setting of metric spaces. Our results open up the unexplored area of fixed points of Lipschitz type mappings for investigation.
Afrooz, Susan; Azarpanah, Fariborz; Hasan Hajee, Nidaah(Universitat Politècnica de València, 2023-10-02)
[EN] Whenever the closure of an open set is also open, it is called e-open and if a space have a base consisting of e-open sets, it is called e-space. In this paper we first introduce and study e-spaces and e-continuous ...
Mukhamadiev, Farkhod(Universitat Politècnica de València, 2023-10-02)
[EN] In this paper, we study the behavior of some topological and cardinal properties of topological spaces under the influence of the Nτφ -kernel of a space X. It has been proved that the Nτφ-kernel of a space X preserves ...
Hernández-Gutiérrez, Rodrigo; Hoehn, Logan C.(Universitat Politècnica de València, 2023-10-02)
[EN] Let X be a smooth fan and denote its set of endpoints by E(X). Let E be one of the following spaces: the natural numbers, the irrational numbers, or the product of the Cantor set with the natural numbers. We prove ...