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Journal of Lie Theory 16 (2006), No. 2, 221--224
Copyright Heldermann Verlag 2006

On Inverse Limits of Finite Dimensional Lie Groups

Adel A. George Michael
Dept. of Mathematics, Voorhees College, Denmark, SC 29042, U.S.A.

We give a short proof of the Hofmann-Morris Theorem characterizing inverse limits of finite dimensional Lie groups [see K. H. Hofmann and S. A. Morris, Projective limits of finite dimensional Lie groups, Proc. Lond. Math. Soc. 87 (2003) 647--676, Theorem 4.7]. The proof depends on the Gleason-Palais characterization of finite dimensional Lie groups [see A. Gleason and R. Palais, On a class of transformation groups, Amer. J. Math. 79 (1957) 631--648, Theorem 7.2].

Keywords: Finite dimensional Lie group, inverse limit.

MSC: 22A05

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