Sequences, uniform structures #2210
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Alizter
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Feb 1, 2025
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I'm not certain if Misc/ is the best place to put this, but I can't think of a better place. I've left some comments. I don't know anything about uniform spaces, but from some quick reading I see that they aim to axiomatize uniform convergence. I trust that the theory here is correct, but I can only really comment on formalisation style.
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I've already reviewed this in a PR to my repo, so I approve of this version. I think using a Misc folder is fine, and that some of the things mentioned in #2155 should be moved there as well (in a separate PR). |
Alizter
approved these changes
Feb 1, 2025
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Feel free to merge when ready. |
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Work on types of sequences
[nat -> X], will be used for formalising searchable types. Some definitions are stated in the generality ofnat-graded equivalence relations, which we callUStructureshere. This could be further generalised to directed systems or uniform spaces in the topological sense later.