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On the relationship between ordinary thin sets and full-thin sets

  • J. S. Hwang (a1) and H. L. Jackson (a2)

Abstract

In this work we demonstrate that if Ω ⊂ Rn (n ≧ 3) is either a half space or a unit ball, and if E ⊂ ω then E is an ordinary thin set at a boundary point of Ω (including the point at infinity if Ω is a half space) if and only if it is a full-thin set at the corresponding Kuramochi boundary point of Ω. The case for n = 2 has already been considered in an earlier work.

1980 Mathematics subject classification (Amer. Math. Soc.): 31 B 05.

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References

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