Dehn-Nielsen-Baer theorem 1graph theory 1infinite-type surfaces 1mapping class groups 1proper homotopy equivalence 1
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math.GR2026
Coarse geometry of homeomorphism groups: Classifying countable Stone spaces
George Domat, Hannah Hoganson, Robert Alonzo Lyman
Towards developing the tools of geometric group theory for non-locally compact topological groups, we give one of the first complete classifications of a family of such groups up t…
math.GR2025
Graphical models for topological groups: A case study on countable Stone spaces
Beth Branman, George Domat, Hannah Hoganson +1
By analogy with the Cayley graph of a group with respect to a finite generating set or the Cayley--Abels graph of a totally disconnected, locally compact group, we detail countable…