11 citations · 20 across the 11 of their papers we have counts for
15 papers
Paracompactness and Open Relations
Valentin Gutev
The countably paracompact normal spaces were characterised by Dowker and Katětov in terms of an insertion property. Dowker also characterised them by normality of their product wit…
Hyperspace Selections Avoiding Points
Valentin Gutev
In this paper, we deal with a hyperspace selection problem in the setting of connected spaces. We present two solutions of this problem illustrating the difference between selectio…
Insertion of Continuous Set-Valued Mappings
Valentin Gutev
An interesting result about the existence of "intermediate" set-valued mappings between pairs of such mappings was obtained by Nepomnyashchii. His construction was for a paracompac…
Simultaneous Extension of Continuous and Uniformly Continuous Functions
Valentin Gutev
The first known continuous extension result was obtained by Lebesgue in 1907. In 1915, Tietze published his famous extension theorem generalising Lebesgue's result from the plane t…
Weak Selections and Suborderable Metrizable Spaces
Valentin Gutev
Each continuous weak selection for a space defines a coarser topology on , called a selection topology. Spaces whose topology is determined by a collection of such selection…
Lipschitz Extensions and Approximations
Valentin Gutev
The classical Hahn-Banach theorem is based on a successive point-by-point procedure of extending bounded linear functionals. In the setting of a general metric domain, the conditio…