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

Author:

Macula Anthony J.

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference32 articles.

1. American Mathematical Society Colloquium Publications, Vol. XXV;Birkhoff, Garrett,1967

2. Epicompletion of Archimedean 𝑙-groups and vector lattices with weak unit;Ball, Richard N.;J. Austral. Math. Soc. Ser. A,1990

3. Epicomplete Archimedean 𝑙-groups and vector lattices;Ball, Richard N.;Trans. Amer. Math. Soc.,1990

4. \bysame, Characterization of epimorphisms in Archimedean 𝑙-groups and vector lattices, Chapter 8 Lattice-Ordered Groups, Advances and Techniques, (A. Glass and W. C. Holland, eds.), Kluwer, Dordrecht, 1989.

5. \bysame, Application of spaces with filters to Archimedean 𝑙-groups, Proc. Conf. on Ordered Algebraic Structures, Curaçao, 1988 (J. Martinez, ed.), Kluwer, Dordrecht, 1989.

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