Interposition and lattice cones of functions
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- by Jörg Blatter and G. L. Seever PDF
- Trans. Amer. Math. Soc. 222 (1976), 65-96 Request permission
Abstract:
A lattice cone of functions on a set X is a convex cone of bounded real-valued functions on X which contains the constants and which is closed under the lattice operations. Our principal results concern the relation between closed lattice cones on a set X and certain binary relations, called inclusions, on the power set of X. These results are applied to interposition problems, Császár compactifications of quasi-proximity spaces, the compactification of Nachbin’s completely regular ordered topological spaces, and a problem in best approximation.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 222 (1976), 65-96
- MSC: Primary 46E05; Secondary 54E05, 41A65
- DOI: https://doi.org/10.1090/S0002-9947-1976-0438094-0
- MathSciNet review: 0438094