A. Olfati

activity

20152022

collaborators

4 papers

math.GN2022

$E$ -compact extensions in the absence of the Axiom of Choice

AliReza Olfati, Eliza Wajch

The main aim of this work is to show, in the absence of the Axiom of Choice, fundamental results on $E$ -compact extensions of $E$ -completely regular spaces, in pa…

math.GN2021

$P$ -spaces in the absence of the Axiom of Choice

Kyriakos Keremedis, AliReza Olfati, Eliza Wajch

A $P$ -space is a topological space whose every $G_{δ}$ -set is open. In this article, basic properties of $P$ -spaces are investigated in the absence of the Axiom of Choice. New weaker…

math.RA2019

Self-injectivity of $\EuScript{M}(X,\mathcal{A})$ versus $\EuScript{M}(X,\mathcal{A})$ modulo its socle

A. R. Olfati

Let $A$ be a field of subsets of a set $X$ and $\EuScript{M}(X,\mathcal{A})$ be the ring of all real valued $A$ -measurable functions on $X$ . It is shown that $\…

math.GN2015

Functionally countable subalgebras and some properties of Banaschewski compactification

Alireza Olfati

Let $X$ be a zero-dimensional space and $C_{c} (X)$ be the set of all continuous real valued functions on $X$ with countable image. In this article we denote by $C_{c}^{K} (X)$ (resp., $C_…

E-compact extensions in the absence of the Axiom of Choice

P-spaces in the absence of the Axiom of Choice

Self-injectivity of $\EuScript{M}(X,\mathcal{A})$ versus $\EuScript{M}(X,\mathcal{A})$ modulo its socle

Functionally countable subalgebras and some properties of Banaschewski compactification

$E$ -compact extensions in the absence of the Axiom of Choice

$P$ -spaces in the absence of the Axiom of Choice