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arXiv 1006.4479math.RAmath.LO
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嵌入到可数无原子布尔代数中

Embeddings into the countable atomless Boolean algebra

Stijn Vermeeren

摘要:

证明了从每个可数分配格到$\mathbb{N}$的可计算子集的布尔代数都有一个格嵌入.在此过程中,我们讨论了格,布尔代数和它们之间的嵌入的所有相关结果。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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