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arXiv 2109.07286math.GNmath.LO
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什么使Stone拓扑代数profinite

What makes a Stone topological algebra profinite

Jorge Almeida, Herman Goulet-Ouellet, Ondřej Klíma

摘要:

本文是一个贡献,了解什么性质应该是一个石头空间上的拓扑代数满足profinite。我们重新制定和简化证明一些已知的性质,使用语法同余。我们还澄清了各种替代方式的作用,描述句法同余,即由有限集的条款和紧凑集的连续自映射的代数。

英文摘要:

This paper is a contribution to understanding what properties should a topological algebra on a Stone space satisfy to be profinite. We reformulate and simplify proofs for some known properties using syntactic congruences. We also clarify the role of various alternative ways of describing syntactic congruences, namely by finite sets of terms and by compact sets of continuous self mappings of the algebra.

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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