Approximation theorems in o-minimal structures
Jesús Escribano
Source: Illinois J. Math. Volume 46, Number 1
(2002), 111-128.
Abstract
We prove that, in any o-minimal structure, definable $C^r$ mappings can always be approximated by definable $C^{r+1}$ mappings. As an application we obtain definable triviality for pairs of definable proper submersions.
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03C64
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.ijm/1258136143
Mathematical Reviews number (MathSciNet): MR1936078
Zentralblatt MATH identifier: 1010.03026
2013 © University of Illinois at Urbana-Champaign, Department of Mathematics
Illinois Journal of Mathematics
