5 citations · 15 across the 39 of their papers we have counts for
6 papers · 1 filter
On resolvability of Lindelöf generated spaces
Maria A. Filatova, Alexander V. Osipov
In this paper we study the properties of P-generated spaces (by analogy with compactly generated). We prove that a regular Lindelöf generated space with uncountable dispersion char…
Classification of selectors for sequences of dense sets of Baire functions
Alexander V. Osipov
For a Tychonoff space X, we denote by B(X) the space of all Baire functions on X with the topology of pointwise convergence. In this paper we investigate selectors for sequences of…
Group structures of a function spaces with the set-open topology
Alexander V. Osipov
In this paper, we find at the properties of the family lambda which imply that the function space C(X,R^alpha) with the lambda-open topology is a semitopological group (paratopolog…
Classification of selectors for sequences of dense sets of Cp(X)
Alexander V. Osipov
We give the characteristics of selectors for sequences of dense sets of Cp(X) through the selection principles of a Tychonoff space X.
On the different kinds of separability of the space of Borel functions
Alexander V. Osipov
In this paper we consider some properties of a space B(X) of Borel functions on a set of reals X, with pointwise topology, that are stronger than separability.
The application of selection principles in the study of the properties of function spaces
Alexander V. Osipov
In this paper we investigate the properties of function spaces using the selection principles.