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 ...
Gabeleh, Moosa(Universitat Politècnica de València, 2015-10-01)
[EN] In this article, we prove a fixed point theorem for cyclic relatively nonexpansive mappings in the setting of generalized semimetric spaces by using a geometric notion of seminormal structure and then we conclude some ...
Ozcag, Selma(Universitat Politècnica de València, 2015-10-01)
[EN] This is a continuation of the work where the notions of Lebesgue uniformity and Lebesgue quasi uniformity in a texture space were introduced. It is well known that the quasi uniform space with a compact topology has ...
Elfard, Ali Sayed(Universitat Politècnica de València, 2015-10-01)
[EN] Let FP(X) be the free paratopological group on a topological space X in the sense of Markov. In this paper, we study the group FP(X) on a $P_\alpha$-space $X$ where $\alpha$ is an infinite cardinal and then we prove ...
Ivansic, Ivan; Rubin, Leonard R.(Universitat Politècnica de València, 2015-10-01)
[EN] Let Z, H be spaces. In previous work, we introduced the direct (inclusion) system induced by the set of maps between the spaces Z and H. Its direct limit is a subset of Z × H, but its topology is different from the ...