18 citations · 121 across the 42 of their papers we have counts for
49 papers
Extensions of Hindman's theorem via finite colorings of topological groups
Serhii Bardyla
We study the partition regular properties of topological groups, proving several extensions of Hindman theorem where monochromatic sets of finite sums are required to satisfy addit…
Maximal subgroups of homeomorphism groups
S. Bardyla, L. Elliott, Y. Péresse
We show that the homeomorphism groups of the following spaces have precisely maximal subgroups: the rational numbers , the Baire space $\mathbb{N}^{\…
New approaches to remote points
Serhii Bardyla, Jaroslav Šupina
For a given Tychonoff space , a point is called {\em remote} if is not in the closure of any nowhere dense subset of . In this paper, we characteri…
Polish topologies on endomorphism monoids of linear orders
Serhii Bardyla, Luna Elliott
In this paper, we investigate Polish semigroup topologies on the endomorphism monoids and . We introduce…
A note on intrinsic topologies of groups
S. Bardyla, L. Elliott, J. D. Mitchell +1
We investigate topologies on groups which arise naturally from their algebraic structure, including the Frechét-Markov, Hausdorff-Markov, and various kinds of Zariski topologies. A…
Countably compact inverse semigroups and Nyikos' problem
Serhii Bardyla
A regular separable first-countable countably compact space is called a Nyikos space. In this paper, we give a partial solution to an old problem of Nyikos by showing that each loc…