4 citations · 10 across the 13 of their papers we have counts for
5 papers · 1 filter
Generalized Cantor manifolds and homogeneity
A. Karassev, P. Krupski, V. Todorov +1
A classical theorem of Alexandroff states that every -dimensional compactum contains an -dimensional Cantor manifold. This theorem has a number of generalizations obtaine…
Krasinkiewicz spaces and parametric Krasinkiewicz maps
Eiichi Matsuhashi, Vesko Valov
We say that a metrizable space is a Krasinkiewicz space if any map from a metrizable compactum into can be approximated by Krasinkiewicz maps (a map is…
Approximation by light maps and parametric Lelek maps
Taras Banakh, Vesko Valov
The class of metrizable spaces with the following approximation property is introduced and investigated: if for every $\e>0$ and a map $g\colon\I^n\to M$ there e…
A non-separable Christensen's theorem and set tri-quotient maps
S. Nedev, J. Pelant, V. Valov
For every space let be the set of all compact subsets of . Christensen \cite{c:74} proved that if are separable metrizable spaces and $F\colon\mathcal…
Probability measures and Milyutin maps between metric spaces
V. Valov
We prove that the functor $\Hat{P}$ of Radon probability measures transforms any open map between completely metrizable spaces into a soft map. This result is applied to establish…