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- Thread starter JPMPhysics
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You really should understand topology pretty well before you do differential geometry. I found Munkres to be a good start, if you want to look for it. I happen to know that there are a couple copies wandering the internet.

The basics:

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- ##S## and ##\emptyset## are in ##\mathscr{T}##
- The union of elements in any subcollection of ##\mathscr{T}## is in ##\mathscr{T}##
- The intersection of elements in any finite subcollection of ##\mathscr{T}## is in ##\mathscr{T}##

Elements of the topology are called

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mathman

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http://en.wikipedia.org/wiki/Tychonoff's_theorem

Is important

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Chapters 2-4 of Lee, Topological Manifolds might be useful.

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