33 citations · 687 across the 231 of their papers we have counts for
11 papers · 1 filter
-Dominated function spaces and -bases in free objects of Topological Algebra
Taras Banakh, Arkady Leiderman
A topological space is defined to have an -base if at each point the space has a neighborhood base such that for a…
Strongly -metrizable spaces are super -metrizable
Taras Banakh
A topological space is called strongly -metrizable if for an increasing sequence of closed metrizable subspaces such that every conver…
Quasicontinuous functions with values in Piotrowski spaces
Taras Banakh
A topological space is called Piotrowski if every quasicontinuous map from a Baire space to has a continuity point. In this paper we survey known results on…
The strong Pytkeev property of topological spaces
Taras Banakh
Modifying the known definition of a Pytkeev network, we introduce a notion of Pytkeev network and prove that a topological space has a countable Pytkeev network if and only if…
Topological spaces with an -base
Taras Banakh
Given a partially ordered set we study properties of topological spaces admitting a -base, i.e., an indexed family of subsets of such that $…
-bases in free (locally convex) topological vector spaces
Taras Banakh, Arkady Leiderman
We characterize topological (and uniform) spaces whose free (locally convex) topological vector spaces have a local -base. A topological space has a local $\mathfr…