2 citations · 2 across the 4 of their papers we have counts for
5 papers · 1 filter
Stone-Cech Compactifications of Spaces of Probability Measures
E. A. Reznichenko
It is proved that if and only if is a pseudocompact space, where is the space of Radon probability measures with the weak topology and is the Stone…
On identities in connected topological groups
Evgenii Reznichenko, I. N. Zyabrev, E. A. Reznichenko +1
We construct a connected (indeed, path-connected) Hausdorff topological group G such that, for an odd n >= 665, the identity x^n = e holds in some neighbourhood of the identity but…
Algebraic structures on the Cantor set
Evgenii Reznichenko
Below, by space we mean a separable metrizable zero-dimensional space. It is studied when the space can be embedded in a Cantor set while maintaining the algebraic structure. Main…
Classes of Baire spaces defined by semi-neighborhoods of the diagonal
Evgenii Reznichenko
With the help of semi-neighborhoods of the diagonal, classes of Baire spaces are defined: , and Baire spaces. These classes of spaces are studied with the help of to…
Classes of Baire spaces defined by topological games
Evgenii Reznichenko
The article studies topological games that arise in the study of the continuity of operations in groups with topology, such as paratopological and semitopological groups. These gam…