Embeddings into the countable atomless Boolean algebra

Details Embeddings into the countable atomless Boolean algebra Embeddings into the countable atomless Boolean algebra

2010-06-23

arxiv.org/abs/1006.4479v1

Mathematics

Rings and Algebras

Scientific paper

We prove that there is a lattice embedded from every countable distributive
lattice into the Boolean algebra of computable subsets of $\mathbb{N}$. Along
the way, we discuss all relevant results about lattices, Boolean algebras and
embeddings between them.

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