Abstract and Applied Analysis
Volume 2005 (2005), Issue 3, Pages 207-219
http://dx.doi.org/10.1155/AAA.2005.207
Local inverses of Borel homomorphisms and analytic P-ideals
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801, USA
Received 25 July 2004
Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We present a theorem on the existence of local continuous
homomorphic inverses of surjective Borel homomorphisms with
countable kernels from Borel groups onto Polish groups. We also
associate in a canonical way subgroups of