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The order-bound topology

Published online by Cambridge University Press:  24 October 2008

Yau-Chuen Wong
Yau-Chuen Wong
Affiliation:
Department of Mathematics, United College, The Chinese University of Hong Kong, Hong-Kong
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Extract

Let (E, C) be a partially ordered vector space with positive cone C. The order-bound topology Pb(6) (order topology in the terminology of Schaefer(9)) on E is the finest locally convex topology for which every order-bounded subset of E is topologically bounded.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 2 , March 1972 , pp. 321 - 327
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

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