Vol. 66, No. 1, 1976

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Insertion of a continuous function

Ernest Paul Lane

Vol. 66 (1976), No. 1, 181–190
Abstract

Necessary and sufficient conditions in terms of lower cut sets are given for the insertion of a continuous function between two comparable real valued functions with a certain pair of a general class of properties. The class of properties is defined by being preserved when added to a continuous function and by being possessed by any constant function.

Mathematical Subject Classification 2000
Primary: 54C30
Milestones
Received: 22 March 1976
Published: 1 September 1976
Authors
Ernest Paul Lane