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math.GN2022
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…
math.GT2022
On (strongly) (-)discrete homogeneous spaces
Vitaly Chatyrko, Alexandre Karassev
We introduce the classes of (strongly) (-)discrete homogeneous spaces. We discuss the relationships of these classes to other classes of spaces possessing homogeneity-related pr…