Equidistant functions are studied using spherical approximations to one focal set, with necessary and sufficient conditions given for existence along vertical lines and a commuting property with the minimum operator.
Ol\' a h, \ L.\ F\' o ri\' a n and S.\ L o rinc, On computable classes of equidistant sets: finite focal sets, Involve - a Journal of Math., Vol
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On a special class of equidistant sets in the Euclidean space
Equidistant functions are studied using spherical approximations to one focal set, with necessary and sufficient conditions given for existence along vertical lines and a commuting property with the minimum operator.