Free 𝛼-extensions of an Archimedean vector lattice and their topological duals

Macula, Anthony J.

doi:10.1090/S0002-9947-1992-1050085-7

Free $\alpha$-extensions of an Archimedean vector lattice and their topological duals
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Trans. Amer. Math. Soc. 332 (1992), 437-448 Request permission

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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