Tomasz Rybicki
University of Mining and Metallurgy, Cracow
tomasz@uci.agh.edu.pl


A smooth structure on a locally compact topological group

It is shown that any connected locally compact topological group (or,
more generally, any PL-group) carries  a smooth structure. Here a
smooth structure is determined by a set of smooth curves with some
conditions specified. It is observed that the Lie algebra of a locally
compact group is identified with the Lie algebra assigned to a smooth
group structure. Further properties are exhibited.