16 citations · 24 across the 5 of their papers we have counts for
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Extensions and factorizations of topological and semitopological universal algebras
Evgenii Reznichenko
The possibility of extending operations of topological and semitopological algebras to their Stone-Čech compactification and factorization of continuous functions through homomorph…
All countable subsets of pseudocompact quasitopological Korovin groups are closed, discrete and -embedded
Evgenii Reznichenko, Mikhail Tkachenko
We show that all countable subsets of any pseudocompact quasitopological group in the form of a Korovin orbit are closed, discrete, and -embedded. Consequently, any infinit…
Functions on products of pseudocompact spaces
Evgenii Reznichenko
For every natural number , any continuous function on the product of pseudocompact spaces extends to a separately continuous function…
Homogeneous Subspaces of Products of Extremally Disconnected Spaces
Evgenii Reznichenko
Homogeneous countably compact spaces and whose product is not pseudocompact are constructed. It is proved that all compact subsets of homogeneous subspaces of t…