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Add redirects from latest Internet trawl of dead links (#22)

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Patrick Stevens
2024-09-28 19:40:40 +01:00
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hugo/content/posts/2014-04-26-sequentially-compact-iff-compact.md
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@@ -10,6 +10,7 @@ math: true
aliases:
- /mathematical_summary/proof_discovery/sequentially-compact-iff-compact/
- /sequentially-compact-iff-compact/
- /wordpress/archives/620/
title: Sequentially compact iff compact
---
[Prof Körner][1] told us during the [IB Metric and Topological Spaces][2] course that the real meat of the course (indeed, its hardest theorem) was "a metric space is sequentially compact iff it is compact". At the moment, all I remember of this result is that one direction requires Lebesgue's lemma (whose statement I don't remember) and that the other direction is quite easy. I'm going to try and discover a proof - I'll be honest when I have to look things up.