Luna Elliott

collaborators

4 papers

math.GR2026

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 ${x \in G ∣ 1_{G} \neq = g_{0} x^{k_{0}} g_{1} ... g_{l - 1} x^{k_{l - 1}} g_{l}}$ are open. Originally…

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 $End (N, \leq)$ and $End (Z, \leq)$ . We introduce…

math.GR2026

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…

math.GR2025

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…