A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a
product of finite-dimensional real Lie groups. This class of groups is closed under the …

Topology Proceedings Page 1 Topology Proceedings Web: http://topology.auburn.edu/tp/
Mail: Topology Proceedings Department of Mathematics & Statistics Auburn University …

The essential attributes of a Lie group G are the associated Lie algebra LšGŽ and the
exponential function exp: LšGŽ! G. The prescription L operates not only on Lie groups but …

A pro-Lie group is a projective limit of a projective system of finite dimensional Lie groups. A
prodiscrete group is a complete abelian topological group in which the open normal …

Topology Proceedings 33 (2009) pp. 225-237: Contributions to the Structure Theory of
Connected Pro-Lie Groups Page 1 Volume 33, 2009 Pages 225–237 http://topology.auburn.edu/tp …

A pro-Lie group is a projective limit of finite dimensional Lie groups. It is proved that a
surjective continuous group homomorphism between connected pro-Lie groups is open. In …