JournalslemVol. 61, No. 1/2pp. 3–43

Hilbert’s 5th Problem

  • Lou van den Dries

    University of Illinois at Urbana-Champaign, USA

  • Isaac Goldbring

    University of Illinois at Chicago, USA
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Abstract

Assuming a modest amount of background we give full proofs of the results by Gleason, Montgomery–Zippin, and Yamabe that characterize Lie groups and generalized Lie groups among topological groups. Our treatment involves nonstandard reasoning, and we expose this method in an appendix.

Cite this article

Lou van den Dries, Isaac Goldbring, Hilbert’s 5th Problem. Enseign. Math. 61 (2015), no. 1/2, pp. 3–43

DOI 10.4171/LEM/61-1/2-2