Approximation of o-minimal maps satisfying a Lipschitz condition
نویسنده
چکیده
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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ورودعنوان ژورنال:
- Ann. Pure Appl. Logic
دوره 165 شماره
صفحات -
تاریخ انتشار 2014