From A neighborhood of infinity: What is topology?, attempting to provide some intuition for the standard axioms that define a topology in terms of "observable sets" (which are just open sets, with different intuition attached to them!)

Also, on a totally unrelated note: John Baez has online notes from the course he gave in Fall '03, Winter '04, Spring '04. The winter notes are particularly interesting to me, because they combine combinatorics (which I know well) and a lot of category-theoretic notions that I'm not too familiar with.

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## 4 comments:

That year's seminar really is great. And not only does it get some great combinatorics, it uses them to talk about quantum mechanics!

I almost thought Joan Baez was giving math lectures!

I believe John Baez (the mathematical physicist) and Joan Baez (the singer) are cousins.

Indeed they are. I still need to get him to sign a copy of

Diamonds & Rust, and her to sign a copy ofGauge Fields, Knots & GravityPost a Comment