Olela Otafudu, Olivier; Sabao, Hope(Universitat Politècnica de València, 2017-04-03)
[EN] We revisit the computation of entourage sections of the constant uniformity of the product of countably many copies the Alexandroff one-point compactification called the Fort space. Furthermore, we define the concept ...
Hattab, Hawete(Universitat Politècnica de València, 2017-04-03)
[EN] Let G be a subgroup of the group Homeo(E) of homeomorphisms of a Hausdorff topological space E. The class of an orbit O of G is the union of all orbits having the same closure as O. We denote by E=eG the space of ...
Ozturk, Vildan; Ansari, Arslan Hojat(Universitat Politècnica de València, 2017-04-03)
[EN] In this paper, we consider and generalize recent b-(E.A)-property results in [11] via the concepts of C-class functions in b- metric spaces. A example is given to support the result.
Barrera Mayoral, Daniel de la(Universitat Politècnica de València, 2017-04-03)
[EN] In this paper we give two families of non-metrizable topologies on the group of the integers having a countable dual group which is isomorphic to a infinite torsion subgroup of the unit circle in the complex plane. ...
García-Máynez, Adalberto; Pimienta Acosta, Adolfo(Universitat Politècnica de València, 2017-04-03)
[EN] In this paper we prove there is a bijection between the set of all annular bases of a topological spaces $(X,\tau)$ and the set of all transitive quasi-proximities on $X$ inducing $\tau$.We establish some properties ...