SOME REMARKS ON DIFFERENCE SETS OF BERNSTEIN SETS

Brian King

doi:10.2307/44152397

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Home > Journals > Real Anal. Exchange > Volume 19 > Issue 2 > Article

1993/1994 SOME REMARKS ON DIFFERENCE SETS OF BERNSTEIN SETS

Brian King

Real Anal. Exchange 19(2): 478-490 (1993/1994). DOI: 10.2307/44152397

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Abstract

There are many ways to characterize a set $A$ as “thick” or “thin”. Discussed is an alternate way to provide such a characterization, via the difference set of $A$ . Further, we discuss properties of the difference sets of decompositions $C$ , $\widetilde C$ of ${\mathbb{R}$ . We discuss in detail the possibilities that can arise when one encounters difference sets of Bernstein sets.