Kyrylo Muliarchyk

activity

20182026

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math.GR2024

Classifying the closure of standard orderings on $Homeo_{+} (R)$

Kyrylo Muliarchyk

We characterize a closure of the set of dynamical-lexicographic orderings on $Homeo_{+} (R)$ and prove the existence of orders outside of it.

math.GR2024

Free products of bi-orderable groups

Kyrylo Muliarchyk

We prove a bi-ordered version of Rivas' result for free products of left-order groups. Namely, we show that a free product of bi-ordered groups does not admit isolated bi-ordering.…

Classifying the closure of standard orderings on Homeo+​(R)

Free products of bi-orderable groups

Classifying the closure of standard orderings on $Homeo_{+} (R)$