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

DOI10.2307/2154040zbMath0774.06011OpenAlexW4254972283MaRDI QIDQ4018444

Anthony J. Macula

Publication date: 16 January 1993

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154040

zbMATH Keywords

Yosida space\(\alpha\)-complete extensions\(\alpha\)-complete vector lattice\(\alpha\)-disconnected spacecategory of Archimedean vector lattices with vector lattice homomorphismsfree \(\alpha\)-extensionfree-\(\alpha\)-regular extensionStone-Nakano theorem

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Categorical methods in general topology (54B30) Representation theory of lattices (06B15) Topological lattices (06B30) Ordered topological linear spaces, vector lattices (46A40) Extremally disconnected spaces, (F)-spaces, etc. (54G05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

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