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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A generalization of Altman's ordering principle


Author: Mihai Turinici
Journal: Proc. Amer. Math. Soc. 90 (1984), 128-132
MSC: Primary 54F05; Secondary 06A10, 39B70, 54C10
MathSciNet review: 722430
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Abstract: A maximality principle on quasi-ordered quasi-metric spaces, containing, in particular, Altman's and the Brézis-Browder ordering principles, is given. As an application, a local mapping theorem extending--from a "functional" viewpoint--a similar one due to Altman, is derived.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0722430-1
PII: S 0002-9939(1984)0722430-1
Keywords: Quasi-ordering, maximality principle, mapping theorem
Article copyright: © Copyright 1984 American Mathematical Society