Vol. 95, No. 1, 1981

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Equidiscontinuity of Borsuk-Ulam functions

Lester Eli Dubins and Gideon Schwarz

Vol. 95 (1981), No. 1, 51–59
Abstract

No idempotent function on the unit disc onto its boundary is continuous. The stronger fact that no such function has a modulus of discontinuity smaller than √3 is a prototype of the contents of this paper.

Mathematical Subject Classification 2000
Primary: 54F60, 54F60
Secondary: 54C05, 55M20, 55P05
Milestones
Received: 22 February 1980
Published: 1 July 1981
Authors
Lester Eli Dubins
Gideon Schwarz