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Computable Gelfand duality
Peter Burton, Christopher Eagle, Alec Fox, Isaac Goldbring, Matthew Harrison-Trainor, Timothy McNicholl, Alexander Melnikov, Teerawat Thewmorakot
Source abstract
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 ∗ \mathrm {C}^* -algebras.
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