4 citations · 10 across the 22 of their papers we have counts for
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math.DG2009★ 4 cited
Locally Compact Contractive Local Groups
Lou van den Dries, Isaac Goldbring
We study locally compact contractive local groups, that is, locally compact local groups with a contractive pseudo-automorphism. We prove that if such an object is locally connecte…
math.DG2008
Nonstandard Hulls of Locally Exponential Lie Algebras
Isaac Goldbring
We show how to construct the nonstandard hull of certain infinite-dimensional Lie algebras in order to generalize a theorem of Pestov on the enlargeability of Banach-Lie algebras.…
math.DG2007
Hilbert's Fifth Problem for Local Groups
Isaac Goldbring
We solve Hilbert's fifth problem for local groups: every locally euclidean local group is locally isomorphic to a Lie group. Jacoby claimed a proof of this in 1957, but this proof…