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math.GN2025
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…
math.GN2024
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…