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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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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	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.
doi_str_mv	10.2307/2154040
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Ordered structures</topic><topic>Continuous functions</topic><topic>Exact sciences and technology</topic><topic>Functors</topic><topic>Hausdorff spaces</topic><topic>Lattice theory</topic><topic>Mathematical lattices</topic><topic>Mathematical objects</topic><topic>Mathematical vectors</topic><topic>Mathematics</topic><topic>Morphisms</topic><topic>Order, lattices, ordered algebraic structures</topic><topic>Sciences and techniques of general use</topic><topic>Topological spaces</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>MACULA, A. J</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Transactions of the American Mathematical Society</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>MACULA, A. 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source	American Mathematical Society Journals; JSTOR Archival Journals
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
title	Free α-Extensions of an Archimedean Vector Lattice and Their Topological Duals
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