Bouassida, Ezzeddine(Universitat Politècnica de València, 2008-10-01)
[EN] The connectivity in Alexandroff topological spaces is equivalent to the path connectivity. This fact gets some specific properties to Z2, equipped with the Khalimsky topology. This allows a sufficiently precise ...
Kohli, J.K.; Singh, D.; Kumar, Rajesh(Universitat Politècnica de València, 2008-10-01)
[EN] Two new classes of functions, called ‘almost z-supercontinuous functions’ and ’almost Dδ-supercontinuous functions’ are introduced. The class of almost z-supercontinuous functions properly includes the class of ...
Hubal, O.B.; Zarichnyi, M.M.(Universitat Politècnica de València, 2008-10-01)
[EN] The set of all probability measures with compact support on an ultrametric space can be endowed with a natural ultrametric. We show that the functor of probability measures with finite supports (respectively compact ...
Jun, Young Bae; Jeong, Seong Woo; Lee, Hyeon Jeong; Lee, Joon Woo(Universitat Politècnica de València, 2008-10-01)
[EN] Using the concept of pre-open set, we introduce and study topological properties of pre-limit points, pre-derived sets, preinterior and pre-closure of a set, pre-interior points, pre-border, prefrontier and pre-exterior. ...
Burzyk, Józef; Ferens, Cezary; Mikusinski, Piotr(Universitat Politècnica de València, 2008-10-01)
[EN] Generalized quotients are defined as equivalence classes of pairs (x, f), where x is an element of a nonempty set X and f is an element of a commutative semigroup G acting on X. Topologies on X and G induce a natural ...