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math.GR2026
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}^{\…
math.GR2026
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…