[EN] Suppose F is a totally ordered field equipped with its order topology
and X a completely F-regular topological space. Suppose P is an ideal
of closed sets in X and X is locally-P. Let CP(X, F) = {f : X ! F | f
is ...

Singh, D.(Universitat Politècnica de València, 2007-10-01)

[EN] Basic properties of cl-supercontinuity, a strong variant of continuity, due to Reilly and Vamanamurthy [Indian J. Pure Appl. Math., 14 (1983), 767–772], who call such maps clopen continuous, are studied. Sufficient ...

Druzhinina, Irina(Universitat Politècnica de València, 2006-10-01)

[EN] We prove under Martin’s Axiom that every separable metrizable space represented as the union of less than 2 ω zero-dimensional compact subsets is zero-dimensional. On the other hand, we show in ZFC that every separable ...

Veisi, Amir(Universitat Politècnica de València, 2019-10-01)

[EN] The purpose of this article is to study and investigate ec-filters on X and ec-ideals in C*c (X) in which they are in fact the counterparts of zc-filters on X and zc-ideals in Cc(X) respectively. We show that the ...

Karamzadeh, O. A. S.; Namdari, M.; Soltanpour, S.(Universitat Politècnica de València, 2015-10-01)

[EN] Let $C_c(X)=\{f\in C(X) : |f(X)|\leq \aleph_0\}$, $C^F(X)=\{f\in C(X): |f(X)|<\infty\}$, and $L_c(X)=\{f\in C(X) : \overline{C_f}=X\}$, where $C_f$ is the union of all open subsets $U\subseteq X$ such that ...

Comfort, W.W.; Hager, A.W.(Universitat Politècnica de València, 2013-04-01)

[EN] All spaces here are Tychonoff spaces. The class AE(0) consists of those spaces which are absolute extensors for compact zero-dimensional spaces. We define and study here the subclass AE(0)rp, consisting of those spaces ...

[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. ...