Comments on Toy Principle Bundle

[selfAdjoint]

As I said on the Toy Bundle thread, I want to keep the comments about than development over here, so the "didactic flow" of the main thread won't be interrupted with material that, however well taken, is distracting to readers. Thank you for your consideration.

[marcus]

Having a separate thread for comments is a good idea and hopefully all will respect the partition. Also principal bundle seems to be a really useful construct, so its great to have a tutorial on it!

[selfAdjoint]

I'll do the next post tomorrow. I really want to have this correct, and I'm checking Nash & Sen and Nakahara on the connection 1-form.

BTW, all the books say "fibre" bundles. But I learned "fiber" spaces in Algebraic Topology all those moons ago, and I am going to stick with the US spelling.