5 citations · 15 across the 39 of their papers we have counts for
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Note on the Banach Problem 1 of condensations of Banach spaces onto compacta
Alexander V. Osipov
It is consistent with any possible value of the continuum that every infinite-dimensional Banach space of density condenses onto the Hilbert cube…
Embedding Theorems for function spaces
Mikhail Al'perin, Sergei Nokhrin, Alexander V. Osipov
In this paper, we have proved results similar to Tychonoff's Theorem on embedding a space of functions with the topology of pointwise convergence into the Tychonoff product of topo…
Baire property of space of Baire-one functions
Alexander V. Osipov
A topological space is Baire if the Baire Category Theorem holds for , i.e., the intersection of any sequence of open dense subsets of is dense in . One of the intere…
Various types of completeness in topologized semilattices
Konstantin Kazachenko, Alexander V. Osipov
A topologized semilattice is called complete if each non-empty chain has and that belong to the closure of the chain in . In this pape…