J Austral Math Soc Ser A 51 pp468--472, 1991.

An Existence Theorem for Abstract Stable Sets

Chih Chang and Gerard J. Chang

(Received 14 August 1989; revised 19 June 1990)

Abstract

We provide an existence theorem for stable sets which is equivalent to Zorn's lemma and study the connections between the unique stable set for majorization and the stable sets for the dominance relation.

1991 AMS Subject Classification: 90D12

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Authors

Chih Chang: Tsing Hua Institute of Applied Mathematics, National Tsing Hua University, Hsinchu, Taiwan, R. O. C.
Gerard J. Chang: Institute of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan, R. O. C.

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Last Modified: Mon Feb 3 9:46:10 2003