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A geometricalćombinatorical question with implications for the John–Nirenberg inequality for BMO functions

A geometricalćombinatorical question with implications for the John–Nirenberg inequality for BMO functions

The first and last sections of this paper are intended for a general mathematical audience. In addition to some very brief remarks of a somewhat historical nature, we pose a rather simply formulated question in the realm of (discrete) geometry. This quest