5 citations · 11 across the 22 of their papers we have counts for
12 papers · 1 filter
Projective versions of the properties in the Scheepers Diagram
Alexander V. Osipov
Let be a topological property. A.V. Arhangel'skii calls projectively if every second countable continuous image of is . Lj.D.R. Ko$…
A note on the Alster, Menger and D-type properties
Alexander V. Osipov, Selma Özçağ
In this paper we give new characterizations for almost Menger and weakly Menger spaces by neighborhood assignments and define a natural weakening of almost D-spaces and weakly D-sp…
Selectors for sequences of subsets of hyperspaces
Alexander V. Osipov
For a Hausdorff space we denote be the family of all closed subsets of . In this paper we continue to research relationships between closure -type properties of hypers…
Indestructibly productively Lindelöf and Menger function spaces
Alexander V. Osipov
For a Tychonoff space and a family of subsets of , we denote by the -space of all real-valued continuous functions on with the -open topology. A to…
On the cardinality of -spaces
Alexander V. Osipov
In this paper we continue to study of properties of -spaces. We establish bounded on the cardinality of -spaces.
On some properties of the space of upper semicontinuous functions
Alexander V. Osipov, Evgenii G. Pytkeev
For a Tychonoff space , we will denote by () a set of all real-valued upper semicontinuous functions (a set of all Baire functions of class 1) defined on $X…