The nonstandard treatment of Hilbert’s fifth problem
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- by Joram Hirschfeld PDF
- Trans. Amer. Math. Soc. 321 (1990), 379-400 Request permission
Abstract:
We give a nonstandard proof that every locally Euclidean group is a Lie group. The heart of the proof is a strong nonstandard variant of Gleason’s lemma for a class of groups that includes all locally Euclidean groups.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 321 (1990), 379-400
- MSC: Primary 22E15; Secondary 03H05, 22D05, 46Q05
- DOI: https://doi.org/10.1090/S0002-9947-1990-0967314-6
- MathSciNet review: 967314