P. Krupski

most citedGeneralized Cantor manifolds and homogeneity

3 citations · 3 across the 1 of their papers we have counts for

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math.GN2009★ 1 cited

Mazurkiewicz manifolds and homogeneity

P. Krupski, V. Valov

It is proved that no region of a homogeneous locally compact, locally connected metric space can be cut by an $F_{σ}$ -subset of a "smaller" dimension. The result applies to different…

math.GN2008★ 3 cited

Generalized Cantor manifolds and homogeneity

A. Karassev, P. Krupski, V. Todorov +1

A classical theorem of Alexandroff states that every $n$ -dimensional compactum $X$ contains an $n$ -dimensional Cantor manifold. This theorem has a number of generalizations obtaine…