5 citations · 15 across the 39 of their papers we have counts for
5 papers · 2 filters
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 where is a complete uniform space with the un…
Some observations on a clopen version of the Rothberger property
Manoj Bhardwaj, Alexander V. Osipov
In this paper, we proved that a clopen version of the Rothberger property and Borel strong measure zeroness are independent. For a zero-dimensional metric space $(X…
Covering games using semi-open sets
Manoj Bhardwaj, Alexander V. Osipov
In this paper, we prove the following Theorems 1. An extremally disconnected space has the semi-Menger property if and only if One does not have a winning strategy in the game…
The projectively Hurewicz property is t-invariant
Alexander V. Osipov
A space is projectively Hurewicz provided every separable metrizable continuous image of is Hurewicz. In this paper we prove that the projectively Hurewicz property is -…
Frechet-Urysohn property of quasicontinuous functions
Alexander V. Osipov
The aim of this paper is to study the Frechet-Urysohn property of the space of real-valued quasicontinuous functions, defined on a Hausdorff space , endowed…