Vol. 55, No. 2, 1974

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On a lemma of Bishop and Phelps

Arne Brøndsted

Vol. 55 (1974), No. 2, 335–341
Abstract

The main purpose of the present note is to establish a theorem on the existence of maximal elements in certain partially ordered uniform spaces. The theorem unifies a lemma of E. Bishop and R. R. Phelps and a number of known extensions of this lemma.

Mathematical Subject Classification 2000
Primary: 46A40
Secondary: 54F05
Milestones
Received: 23 March 1973
Published: 1 December 1974
Authors
Arne Brøndsted