A. Osipov

activity

20122023

most citedGroup structures of a function spaces with the set-open topology

5 citations · 11 across the 22 of their papers we have counts for

collaborators

Showing 2023Show all

6 papers · 1 filter

math.MG2023

A two dimensional analog of the three gap theorem

Yury Kochetkov, Alexandr Osipov

For a two dimensional vector $v ˉ = (α, β)$ , where $α > 0, β > 0$ are irrational numbers independent over $Q$ , we consider the set $D_n=\{(iα\,{\rm mod}\,1,iβ\,{\rm mod}\,1),i…

math.GN2023

Generalization of the Grothendieck's theorem

Mikhail Al'perin, Alexander V. Osipov

In this paper, we have obtained a generalization of the Grothendieck's theorem for the space of continuous mappings $C_{λ, μ} (X, Y)$ where $Y$ is a complete uniform space with the un…

math.GN2023

Some observations on a clopen version of the Rothberger property

Manoj Bhardwaj, Alexander V. Osipov

In this paper, we proved that a clopen version $S_{1} (C_{O}, C_{O})$ of the Rothberger property and Borel strong measure zeroness are independent. For a zero-dimensional metric space $(X…

math.GN2023

Covering games using semi-open sets

Manoj Bhardwaj, Alexander V. Osipov

In this paper, we prove the following Theorems 1. An extremally disconnected space $X$ has the semi-Menger property if and only if One does not have a winning strategy in the game…

math.GN2023

The projectively Hurewicz property is t-invariant

Alexander V. Osipov

A space $X$ is projectively Hurewicz provided every separable metrizable continuous image of $X$ is Hurewicz. In this paper we prove that the projectively Hurewicz property is $t$ -…

math.GN2023

Frechet-Urysohn property of quasicontinuous functions

Alexander V. Osipov

The aim of this paper is to study the Frechet-Urysohn property of the space $Q_{p} (X, R)$ of real-valued quasicontinuous functions, defined on a Hausdorff space $X$ , endowed…