Preprint 101/2002
Regular Connections among Generalized Connections
Christian Fleischhack
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Submission date: 13. Nov. 2002
Pages: 15
published in: Journal of geometry and physics, 47 (2003) 4, p. 469-483 
DOI number (of the published article): 10.1016/S0393-0440(02)00232-2
Bibtex
MSC-Numbers: 81T13, 53C05
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Abstract:
Abstract:
The properties of the space 
of regular connections
as a subset of the space 
of generalized connections
in the Ashtekar framework are studied. For every choice of
compact structure group and smoothness category for the paths
it is determined whether is dense in or not.
Moreover, it is proven that has Ashtekar-Lewandowski measure zero
for every nontrivial structure group and every smoothness category.
The analogous results hold for gauge orbits instead of connections.