Approximation of o-minimal maps satisfying a Lipschitz condition |
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Authors: | Andreas Fischer |
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Affiliation: | Comenius Gymnasium Datteln, Südring 150, 45711 Datteln, Germany |
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Abstract: | Consider an o-minimal expansion of the real field. We show that definable Lipschitz continuous maps can be definably fine approximated by definable continuously differentiable Lipschitz maps whose Lipschitz constant is close to that of the original map. |
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Keywords: | primary, 03C64, 14P99, 26B35 secondary, 26B05 |
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