1 4 Fe b 20 07 EXCEPTIONAL POINTS FOR LEBESGUE ’ S DENSITY THEOREM ON THE REAL LINE

Abstract

It is a natural problem to investigate the set of what we will call exceptional points for S, i.e. points which are neither density points of S, nor those of R\S. Note that this is a topological notion, since as far as measure theory is concerned, there are no such exceptional points. First, we quantify the notion of exceptional point: given a measurable S… (More)

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