Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Free $ \alpha$-extensions of an Archimedean vector lattice and their topological duals

Author: Anthony J. Macula
Journal: Trans. Amer. Math. Soc. 332 (1992), 437-448
MSC: Primary 46A40; Secondary 06A23
MathSciNet review: 1050085
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Abstract: Arch denotes the category of Archimedean vector lattices with vector lattice homomorphisms, and $ \alpha $ denotes an uncountable cardinal number or the symbol $ \infty $. $ \operatorname{Arch}(\alpha )$ denotes the category of Arch objects with $ \alpha $-complete Arch morphisms.

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Keywords: Free $ \alpha $-regular extension, free $ \alpha $-extension, $ \alpha $-complete vector lattice, $ \alpha $-disconnected space, Yosida space
Article copyright: © Copyright 1992 American Mathematical Society