Serhii Dovhyi

collaborators

2 papers

math.GR2021

On the topology of the space of bi-orderings of a free group on two generators

Serhii Dovhyi, Kyrylo Muliarchyk

Let $G$ be a group. We can topologize the spaces of left-orderings $L O (G)$ and bi-orderings $O (G)$ of $G$ with the product topology. These spaces may or may not have isolated point…

math.GR2018

Topology of the space of bi-orderings of a free group on two generators

Kyrylo Muliarchyk, Serhii Dovhyi

Let $G$ be a group. We can topologize the spaces of left-orderings $L O (G)$ and bi-orderings $O (G)$ of $G$ with the product topology. These spaces may or may not have isolated point…