Computable Gelfand Duality

Peter Burton, Christopher J. Eagle, Alec Fox,Isaac Goldbring,Matthew Harrison-Trainor,Timothy H. McNicholl,Alexander Melnikov, Teerawat Thewmorakot

arxiv（2024）

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摘要

We establish a computable version of Gelfand Duality. Under this computable duality, computably compact presentations of metrizable spaces uniformly effectively correspond to computable presentations of unital commutative C^* algebras.

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