Masood, Dania; Singh, Pooja(Editorial Universitat Politècnica de València, 2014-10-01)
[EN] For a dynamical system (X,f), the passage of various dynamical properties such as transitivity, total transitivity, weakly mixing, mixing, topological exactness, topological conjugacy, to the hyperspace C(X) of X ...
Ahmadi, Seyyed Alireza(Editorial Universitat Politècnica de València, 2014-10-01)
[EN] In this paper we associate a pseudo-metric to a dynamical system on a compact metric space. We show that this pseudo-metric is identically zero if and only if the system is chain transitive. If we associate this ...
Kohli, J. K.; Singh, Davinder(Editorial Universitat Politècnica de València, 2014-10-01)
[EN] It is shown that the notion of an − cl R space (Demonstratio Math. 46(1) (2013), 229-244) fits well as a separation axiom between zero dimensionality and − 0 R spaces. Basic properties of − cl R spaces are studied and ...
[EN] We construct the classical ring of quotients of the algebra of continuous real-valued functions with countable range. Our construction is a slight modification of the construction given in [M. Ghadermazi, O.A.S. ...
Petrenko, Oleksandr; Protasov, Igor V.; Slobodianiuk, Sergii(Editorial Universitat Politècnica de València, 2014-10-01)
[EN] A ballean is a set X endowed with some family F of its subsets, called the balls, in such a way that (X,F) can be considered as an asymptotic counterpart of a uniform topological space. Given a cardinal k, we define ...