Král, Josef; Netuka, Ivan Fine topology in potential theory and strict maxima of functions. (English) Zbl 0657.31009 Expo. Math. 5, 185-191 (1987). 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. Cited in 1 Review MSC: 31B15 Potentials and capacities, extremal length and related notions in higher dimensions Keywords:fine topology; Borel measurable function; polar; strong fine maxima × Cite Format Result Cite Review PDF