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Define compact convergence topology on continous functions #10439

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CBirkbeck
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@CBirkbeck CBirkbeck commented Nov 23, 2021

Co-authored-by: Oliver Nash github@olivernash.org


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@ocfnash
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ocfnash commented Dec 14, 2021

I had a few spare minutes this afternoon so I returned to this. For future reference, here's Bourbaki's proof:
image

I don't quite follow why the sentence: "We may suppose that W is the set of all u ∈ 𝓒(X; Y) such that (u(x), u₀(x)) ∈ V for all x ∈ X, V being a given entourage of Y."

I'll try to find time to think about this later this evening.

The code is a bit of a dog's dinner but at least I think the
definitions are correct now.

Will fix it up shortly.
This branch has become a mess. I will create a new PR+branch but no harm documenting here
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It seems you did all the work in the end! Sorry I wasnt of more help, I got stuck with end of term things! I'm glad its done, but if there is anything I need to do to help you PR this then let me know.

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ocfnash commented Dec 22, 2021

After tidying up substantially, I have now created a new PR #10967 to take the place of this one.

@ocfnash ocfnash closed this Dec 22, 2021
@ocfnash ocfnash deleted the compact_convergence branch December 22, 2021 14:38
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