5 citations · 8 across the 6 of their papers we have counts for
6 papers
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…
On constructing topology from algebra
Luna Elliott
In this thesis we explore natural procedures through which topological structure can be constructed from specific semigroups. We will do this in two ways: 1) we equip the semigroup…
The Zariski Topology on Homeomorphism groups
Luna Elliott
The Zariski topology on a group G is the coarsest topology such that all sets of the form are open. Originally…
On epiC groups over language class C
Raad Al Kohli, Collin Bleak, Luna Elliott
We introduce a new framework linking group theory and formal language theory which generalizes a number of ways these topics have been linked in the past. For a language class C in…
A short proof of Rubin's theorem
James Belk, Luke Elliott, Francesco Matucci
In a remarkable theorem, M. Rubin proved that if a group acts in a locally dense way on a locally compact Hausdorff space without isolated points, then the space and th…
Sufficient conditions for a group of homeomorphisms of the Cantor set to be two-generated
Collin Bleak, Luke Elliott, James Hyde
Let be some Cantor space. We study groups of homeomorphisms of which are vigorous, or, which are flawless, where we introduce both of these terms here…