Showing 2023Show all
3 papers · 1 filter
math.GN2023
Open images of spaces with a Lusin -base
Mikhail Patrakeev, Vlad Smolin
In [5] we studied spaces with a Lusin -base and -spaces and posed the following question: Does the class of continuous open images of spaces with a Lusin -base equal the c…
math.GN2023
Closed and open-closed images of submetrizable spaces
Vlad Smolin
We prove that: 1. If a Hausdorff M-space is a continuous closed image of a submetrizable space, then it is metrizable. 2. A dense-in-itself open-closed image of a submetrizable spa…
math.GN2023
Sequence-covering maps on submetrizable spaces
Vlad Smolin
A topological space is called a submetrizable if it can be mapped onto a metrizable topological space by a continuous one-to-one map. In this paper we answer two questions concerni…