Introduces a geometrisation framework for topological groups via left uniform and coarse structures, characterizing metrisability for Polish groups and defining minimal/maximal metrics.
Topol.18 (2014), no
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.GR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Left coarse structure on G/H is not always the quotient of that on G; counterexample in mapping class groups of Loch Ness monster surfaces, plus conditions involving bounded-set liftings, transversals, and metrisability.
citing papers explorer
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The geometrisation problem for topological groups
Introduces a geometrisation framework for topological groups via left uniform and coarse structures, characterizing metrisability for Polish groups and defining minimal/maximal metrics.
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Coarse Structures on Homogeneous Spaces
Left coarse structure on G/H is not always the quotient of that on G; counterexample in mapping class groups of Loch Ness monster surfaces, plus conditions involving bounded-set liftings, transversals, and metrisability.