4 citations · 7 across the 10 of their papers we have counts for
7 papers · 1 filter
On structural numbers of topological spaces
Vitalij Chatyrko, Alexandre Karassev
Zero-dimensional structural numbers and w.r.t. dimensions and were introduced by Georgiou, Hattori, Megariti…
From homogeneity to discrete homogeneity
Vitalij A. Chatyrko, Alexandre Karassev
This is a survey of recent and classical results concerning various types of homogeneity, such as n-homogeneity, discrete homogeneity, and countable dense homogeneity. Some new res…
On generalized -continua
A. Karassev, P. Krupski, V. Todorov +1
The notion of a -continuum was introduced by Alexandroff \cite{ps} as a generalization of the concept of -manifold. In this note we consider the cohomological analogue of $…
Homogeneous spaces not separated by arcs
Alexandre Karassev, Vesko Valov
It was shown by van Mill and Valov that regions in strongly locally homogeneous locally compact metric spaces of dimension are not separated by arcs. We improve this result…
Discrete homogeneity and ends of manifolds
Vitalij A. Chatyrko, Alexandre Karassev
It is shown that a connected non-compact metrizable manifold of dimension is strongly discrete homogeneous if and only if it has one end (in the sense of Freudenthal compac…
Alexandroff Manifolds and Homogeneous Continua
Alexandre Karassev, Vladimir Todorov, Vesko Valov
We prove the following result announced in Todorov and Valov: Any homogeneous, metric -continuum is a -continuum provided and …