Computable Gelfand Duality

Fuente: arXiv
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Bibliographic Details
Main Authors: Burton, Peter, Eagle, Christopher J., Fox, Alec, Goldbring, Isaac, Harrison-Trainor, Matthew, McNicholl, Timothy H., Melnikov, Alexander, Thewmorakot, Teerawat
Format: Preprint
Published: 2024
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_version_ 1866914721439940608
author Burton, Peter
Eagle, Christopher J.
Fox, Alec
Goldbring, Isaac
Harrison-Trainor, Matthew
McNicholl, Timothy H.
Melnikov, Alexander
Thewmorakot, Teerawat
author_facet Burton, Peter
Eagle, Christopher J.
Fox, Alec
Goldbring, Isaac
Harrison-Trainor, Matthew
McNicholl, Timothy H.
Melnikov, Alexander
Thewmorakot, Teerawat
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2402_16672
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Computable Gelfand Duality
Burton, Peter
Eagle, Christopher J.
Fox, Alec
Goldbring, Isaac
Harrison-Trainor, Matthew
McNicholl, Timothy H.
Melnikov, Alexander
Thewmorakot, Teerawat
Logic
Functional Analysis
03D78, 03D45, 46LO5
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.
title Computable Gelfand Duality
topic Logic
Functional Analysis
03D78, 03D45, 46LO5
url https://arxiv.org/abs/2402.16672