Buscar en RiuNet

Listar

Todo RiuNet

Mi cuenta

Acceder

Ayuda RiuNet

Admin. UPV

Listar por palabra clave "Zero-dimensional space"

Mostrando ítems 1-9 de 9

A generalized version of the rings CK (X) and C∞(X)– an enquery about when they become Noetheri

Acharyya, Sudip Kumar; Chattopadhyay, Kshitish Chandra; Rooj, Pritam (Editorial Universitat Politècnica de València, 2015-04-01)

[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 ...
cl-Supercontinuous Functions

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 ...
Closed ideals in the functionally countable subalgebra of C(X)

Veisi, Amir (Universitat Politècnica de València, 2022-04-01)

[EN] In this paper, closed ideals in Cc(X), the functionally countable subalgebra of C(X), with the mc-topology, is studied. We show that ifX is CUC-space, then C*c(X) with the uniform norm-topology is a Banach algebra. ...
Connected metrizable subtopologies and partitions into copies of the Cantor set

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 ...
ec-Filters and ec-ideals in the functionally countable subalgebra of C*(X)

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 ...
On e-spaces and rings of real valued e-continuous functions

Afrooz, Susan; Azarpanah, Fariborz; Hasan Hajee, Nidaah (Universitat Politècnica de València, 2023-10-02)

[EN] Whenever the closure of an open set is also open, it is called e-open and if a space have a base consisting of e-open sets, it is called e-space. In this paper we first introduce and study e-spaces and e-continuous ...
On the locally functionally countable subalgebra of C(X) on locally functionally countable subalgebra of C(X)

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 ...
Range-preserving AE(0)-spaces

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 ...
The classical ring of quotients of $C_c(X)$

Bhattacharjee, Papiya; Knox, Michelle L.; McGovern, Warren Wm. (Editorial Universitat Politècnica de València, 2014-10-01)

[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. ...