5 citations · 5 across the 2 of their papers we have counts for
2 papers
math.GN2024
Two Selection Theorems for Extremally Disconnected Spaces
Valentin Gutev
The paper contains a very simple proof of the classical Hasumi's theorem that each usco mapping defined on an extremally disconnected space has a continuous selection. The paper al…
math.GN2001★ 5 cited
Dense families of selections and finite-dimensional spaces
V. Gutev, V. Valov
A characterization of -dimensional spaces via continuous selections avoiding -sets is given, and a selection theorem for strongly countable-dimensional spaces is establishe…