Illinois Journal of Mathematics

Approximation theorems in o-minimal structures

Jesús Escribano

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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.

Article information

Source
Illinois J. Math. Volume 46, Number 1 (2002), 111-128.

Dates
First available in Project Euclid: 13 November 2009

Permanent link to this document
http://projecteuclid.org/euclid.ijm/1258136143

Mathematical Reviews number (MathSciNet)
journal.issue.record/article ijm46-1-111 2002-1/2002-3 2009-11-13T18:15:46Z 2009-11-13T18:15:46Z 2009-11-17T19:48:32Z2009-11-17T19:52:41Z2011-09-23T04:37:35Z

Zentralblatt MATH identifier
1010.03026

Subjects
Primary: 03C64: Model theory of ordered structures; o-minimality

Citation

Escribano, Jesús. Approximation theorems in o-minimal structures. Illinois J. Math. 46 (2002), no. 1, 111--128. http://projecteuclid.org/euclid.ijm/1258136143.


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