Hilbert-Smith conjecture

 Importance: Medium ✭✭
 Author(s): David Hilbert Paul A. Smith
 Subject: Topology
 Keywords:
 Posted by: porton on: February 6th, 2011

\begin{conjecture} Let $G$ be a locally compact topological group. If $G$ has a continuous faithful group action on an $n$-manifold, then $G$ is a \Def{Lie group}. \end{conjecture}

\Def[This conjecture at Wikipedia]{Hilbert-Smith_conjecture}

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Bibliography

% Example: %*[B] Claude Berge, Farbung von Graphen, deren samtliche bzw. deren ungerade Kreise starr sind, Wiss. Z. Martin-Luther-Univ. Halle-Wittenberg Math.-Natur. Reihe 10 (1961), 114. % %[CRS] Maria Chudnovsky, Neil Robertson, Paul Seymour, Robin Thomas: \arxiv[The strong perfect graph theorem]{math.CO/0212070}, % Ann. of Math. (2) 164 (2006), no. 1, 51--229. \MRhref{MR2233847} % % (Put an empty line between individual entries)

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