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An existence theorem for abstract stable sets

Published online by Cambridge University Press:  09 April 2009

Chih Chang  and
Gerard J. Chang
Chih Chang
Affiliation:
Tsing Hua Institute of Applied Mathematics National Tsing Hua UniversityHsinchu, TaiwanR.O.C.
Gerard J. Chang
Affiliation:
Institute of Applied Mathematics National Chiao Tung UniversityHsinchu, TaiwanR. O. C.
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Abstract

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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.

Keywords

stable setmajorizationpartial orderZorn's lemma
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 3 , December 1991 , pp. 468 - 472
Copyright
Copyright © Australian Mathematical Society 1991

References

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