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terrytao.wordpress.com | ||
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www.jeremykun.com
Last time we investigated the (very unintuitive) concept of a topological space as a set of "points" endowed with a description of which subsets are open. Now in order to actually arrive at a discussion of interesting and useful topological spaces, we need to be able to take simple topological spaces and build them up into more complex ones. This will take the form of subspaces and quotients, and through these we will make rigorous the notion of "gluing" and "building" spaces. |
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grossack.site
Chris Grossack's math blog and professional website. |
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leanprover-community.github.io
[AI summary] This blog post discusses the formalization of topology and related concepts in the Lean theorem prover, covering typeclasses, filters, compactness, Hausdorff spaces, and file organization within the mathlib library. |
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mattbaker.blog
In my last blog post, I discussed a simple proof of the fact that pi is irrational. That pi is in fact transcendental was first proved in 1882 by Ferdinand von Lindemann, who showed that if $latex \alpha$ is a nonzero complex number and $latex e^\alpha$ is algebraic, then $latex \alpha$ must be transcendental. Since... |
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