Recognizing pro-R closures of regular languages

Alméida, J. Sánchez; Costa, José Carlos; Zeitoun, Marc

doi:10.48550/arxiv.1905.10460

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Topological Algebras1

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2021

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“…However, it is sometimes useful to consider an ("unnatural") interpretation of the operation symbol ∞ that makes the evaluation mapping E 1 discontinuous. This idea underlies the recent paper [7].…”

Section: Topological Algebrasmentioning

confidence: 80%

What makes a Stone topological algebra profinite

Alméida¹,

Goulet-Ouellet²,

Klíma³

2021

Preprint

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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.

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Section: Topological Algebrasmentioning

confidence: 80%