@article {HoMo2007,
author="Karl H. Hofmann and Sidney A. Morris",
title={An Open Mapping theorem for pro-Lie groups},
journal="J. Aust. Math. Soc.",
fjournal={Journal of the Australian Mathematical Society},
volume="83",
year="2007",
number="1",
pages="55--77",
issn="1446-7887",
coden="JAUMA2",
language="English",
date="Received 4 July 2005; revised 10 April 2006 Communicated by G. Willis",
classmath="primary 22A05, 22E65; secondary 46A30",
publisher={AMPAI, Australian Mathematical Society},
keywords={},
MRID="MR2354???",
ZBLID="pre05231332",
url="http://www.austms.org.au/Journal+of+the+Australian+Mathematical+Society/V83P1/831-l124-HoMo/index.html",
abstract={A \emph {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 fact this remains true for almost connected pro-Lie groups where a topological group is called \emph {almost connected} if the factor group modulo the identity component is compact. As consequences we get a Closed Graph Theorem and the validity of the Second Isomorphism Theorem for pro-Lie groups in the almost connected context. }
}