Vol. 131, No. 1, 1988

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Arithmetic properties of thin sets

Kathryn E. Hare

Vol. 131 (1988), No. 1, 143–155
Abstract

We prove that Λ(p) sets do not contain parallelepipeds of arbitrarily large dimension. This fact is used to show that all Λ(p) sets satisfy the arithmetic properties which were previously known only for Λ(p) sets with p > 2. We also obtain new arithmetic properties of Λ(p) sets.

Mathematical Subject Classification 2000
Primary: 43A46
Milestones
Received: 7 September 1986
Published: 1 January 1988
Authors
Kathryn E. Hare