Convexity and the table theorem

Mark D. Meyerson

Vol. 97 (1981), No. 1, 167–169

DOI: 10.2140/pjm.1981.97.167

Abstract

In “The Table Theorem” ([1]), Roger Fenn proves that one can “balance” a square “table” on any “hill”. One of the hypotheses he suggests relaxing is that the hill has convex support. We show here the necessity of such a hypothesis.

Mathematical Subject Classification 2000

Primary: 52A10

Milestones

Received: 3 September 1980

Published: 1 November 1981