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Conformal Geometry and Dynamics
Conformal Geometry and Dynamics
ISSN 1088-4173

 

Uniform spaces and weak slice spaces


Authors: Stephen M. Buckley and David A. Herron
Journal: Conform. Geom. Dyn. 11 (2007), 191-206
MSC (2000): Primary 30C65; Secondary 51F99
Published electronically: September 24, 2007
MathSciNet review: 2346216
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Abstract: We characterize uniform spaces in terms of a slice condition. We also establish the Gehring-Osgood-Väisälä theorem for uniformity in the metric space context.


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Additional Information

Stephen M. Buckley
Affiliation: Department of Mathematics, National University of Ireland, Maynooth, Co. Kildare, Ireland
Email: sbuckley@maths.nuim.ie

David A. Herron
Affiliation: Department of Mathematics, University of Cincinnati, Cincinnati, Ohio 45221
Email: david.herron@math.uc.edu

DOI: http://dx.doi.org/10.1090/S1088-4173-07-00164-6
PII: S 1088-4173(07)00164-6
Keywords: Uniform spaces, quasihyperbolic metric, slice conditions
Received by editor(s): January 9, 2007
Published electronically: September 24, 2007
Additional Notes: The first author was supported in part by Enterprise Ireland and Science Foundation Ireland. Both authors were supported by the Charles Phelps Taft Memorial Fund.
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.