Free α-Extensions of an Archimedean Vector Lattice and Their Topological Duals

Arch denotes the category of Archimedean vector lattices with vector lattice homomorphisms, and α denotes an uncountable cardinal number or the symbol$\infty. \operatorname{Arch}(\alpha)$denotes the category of Arch objects with α-complete Arch morphisms.

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 1992-07, Vol.332 (1), p.437-448
Main Author: MACULA, A. J
Format: Article
Language:English
Subjects:
Boolean algebras
Combinatorics. Ordered structures
Continuous functions
Exact sciences and technology
Functors
Hausdorff spaces
Lattice theory
Mathematical lattices
Mathematical objects
Mathematical vectors
Mathematics
Morphisms
Order, lattices, ordered algebraic structures
Sciences and techniques of general use
Topological spaces
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Description
Summary:Arch denotes the category of Archimedean vector lattices with vector lattice homomorphisms, and α denotes an uncountable cardinal number or the symbol$\infty. \operatorname{Arch}(\alpha)$denotes the category of Arch objects with α-complete Arch morphisms.
ISSN:0002-9947
1088-6850
DOI:10.2307/2154040