Transfer of Archimedean, uniform, Dedekind, lateral, and universal completeness and the projection property between truncated Riesz spaces and their Alexandroff unitization is characterized, but several central proofs are incomplete.
Algebra universalis85(2024)
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On the Transfer of Completeness and Projection Properties in Truncated Vector Lattices
Transfer of Archimedean, uniform, Dedekind, lateral, and universal completeness and the projection property between truncated Riesz spaces and their Alexandroff unitization is characterized, but several central proofs are incomplete.