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math.GT2026
Set theory, logic, and homeomorphism groups of manifolds
James E. Hanson, Thomas Koberda, J. de la Nuez González +1
We investigate the relationship between axiomatic set theory and the first-order theory of homeomorphism groups of manifolds in the language of group theory, concentrating on first…
math.GT2024
The compact-open topology on the diffeomorphism or homeomorphism group of a smooth manifold without boundary is minimal in almost all dimensions
J. de la Nuez González
We show that for any connected smooth manifold of dimension different from the restriction of the compact-open topology to the diffeomorphism group of is minimal, i.e.…