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A Countable Three-Generated Orthomodular Lattice with No $σ$-Complete Embedding

Higuchi, Joaquim Reizi
arXiv (All) · Papers
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logicrings-and-algebras
We give an explicit countably infinite orthomodular lattice generated by three specified elements and a direct argument that it admits no injective homomorphism into any $σ$-complete orthomodular lattice. In particular, it does not embed into any set-sized complete orthomodular lattice. The source i
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