18 citations · 121 across the 42 of their papers we have counts for
10 papers · 1 filter
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 $\mathbb{N}^{\…
Polish topologies on endomorphism monoids of linear orders
Serhii Bardyla, Luna Elliott
In this paper, we investigate Polish semigroup topologies on the endomorphism monoids and . We introduce…
A note on intrinsic topologies of groups
S. Bardyla, L. Elliott, J. D. Mitchell +1
We investigate topologies on groups which arise naturally from their algebraic structure, including the Frechét-Markov, Hausdorff-Markov, and various kinds of Zariski topologies. A…
Topological embeddings into transformation monoids
S. Bardyla, L. Elliott, J. D. Mitchell +1
In this paper we consider the questions of which topological semigroups embed topologically into the full transformation monoid or the symmetric inverse m…
Subgroups of categorically closed semigroups
Taras Banakh, Serhii Bardyla
Let be a class of topological semigroups. A semigroup is called (1) - if is closed in every topological semigroup containi…
A semigroup is finite if and only if it is chain-finite and antichain-finite
Iryna Banakh, Taras Banakh, Serhii Bardyla
A subset of a semigroup is called a () if () for any (distinct) elements . A semigroup is called ()$c…