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20242026
most citedGraphical models for topological groups: A case study on countable Stone spaces

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math.GT2026

Mapping class groups have a unique Polish group structure

Tyrone Ghaswala, Sumun Iyer, Robert Alonzo Lyman +1

We prove that mapping class groups of surfaces and of locally finite connected graphs support a unique Polish group structure.

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…