×

zbMATH — the first resource for mathematics

Fine topology in potential theory and strict maxima of functions. (English) Zbl 0657.31009
The purpose of the present note is to prove the following Theorem: For an arbitrary Borel measurable function f: \({\mathbb{R}}^ m\to {\mathbb{R}}\), the set M(f) is polar. - For an arbitrary function f, a similar result is established for strong fine maxima.

MSC:
31B15 Potentials and capacities, extremal length and related notions in higher dimensions
PDF BibTeX XML Cite