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math.GR2017★ 1 cited
Dense free subgroups of automorphism groups of homogeneous partially ordered sets
Szymon Głąb, Przemysław Gordinowicz, Filip Strobin
A countable poset is ultrahomogeneous if every isomorphism between its finite subposets can be extended to an automorphism. The groups of such posets ha…
math.CA2017★ 10 cited
On generating regular Cantorvals connected with geometric Cantor sets
Artur Bartoszewicz, Małgorzata Filipczak, Szymon Głcab +2
We show that the Cantorvals connected with the geometric Cantor sets are not achievement sets of any series. However many of them are attractors of IFS consisting of affine functio…
math.FA2017
Levy-Steinitz theorem and achievement sets of conditionally convergent series on the real plane
Szymon Glab, Jacek Marchwicki
Levy-Steinitz theorem characterize sum range of conditionally convergent series, that is a set of all its convergent rearrangements; in finitely dimensional spaces -- it is an affi…