The group of boundary fixing homeomorphisms of the disc is not left-orderable

DOI10.4007/annals.2019.190.2.5OpenAlexW2969832046MaRDI QIDQ2274001

James T. Hyde

Publication date: 19 September 2019

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12851

zbMATH Keywords

linehomeomorphism groupleft-orderabledisc

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving maps of the interval (37E05) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Related Items (1)

On James Hyde's example of non-orderable subgroup of \(\text{Homeo}(D,\partial D)\)

Cites Work

• Groups of PL homeomorphisms of cubes
• Unsolved Problems in Group Theory. The Kourovka Notebook
• Ordered groups and topology

This page was built for publication: The group of boundary fixing homeomorphisms of the disc is not left-orderable