Title of article
o-minimal analytic separation of sets in dimension 2
Author/Authors
Fischer، نويسنده , , Andreas، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
9
From page
130
To page
138
Abstract
We study the Hardy field associated with an o-minimal expansion of the real numbers. If the set of analytic germs is dense in the Hardy field, then we can definably analytically separate sets in R 2 , and we can definably analytically approximate definable continuous unary functions. A similar statement holds for definable smooth functions.
Keywords
o-Minimal structure , Analytic separation , Hardy field
Journal title
Annals of Pure and Applied Logic
Serial Year
2009
Journal title
Annals of Pure and Applied Logic
Record number
1443964
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