3 papers
math.GT2024
Dynamics of quandle orders
Chihaya Jibiki
We construct a continuous map from the space of orders on quandles to the space of quandle actions on one-manifolds, providing an answer to a question posed by Idrissa Ba and Moham…
math.GR2024
Isolated circular orders on free products of cyclic groups
Chihaya Jibiki, Shuhei Maruyama
In this paper, we construct countably many isolated circular orders on the free products of cyclic groups. More…
math.GR2023
Left orderings on inductive limits of amalgamated free products
Chihaya Jibiki
We study left orderings on countably generated groups. In particular, we construct left orderings of inductive limits of amalgamated free products by using isolated left orderings…