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Proving homological stability for homeomorphisms of manifolds
classification
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keywords
homeomorphismshomologicalmanifoldsstabilityargumentconnecteddeducediffeomorphisms
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Following the argument for diffeomorphisms by Galatius and Randal-Williams, we prove that homeomorphisms of 1-connected manifolds of even dimension at least 6 exhibit homological stability. We deduce similar results for PL homeomorphisms and homeomorphisms as a discrete group.
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Diffeomorphism groups and gauge theory for families
Survey of gauge theory for families with focus on applications to diffeomorphism groups of 4-manifolds developed 2021-2025.
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