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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

7 votes
Accepted

Paracompact but not Hausdorff

The answer is no. Take the "classical" example of the line with two origins. This space is non-Hausdorff, paracompact and doesn't admit partitions of unity. EDIT: I think the question is a kind of "d …
Spinorbundle's user avatar
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4 votes

Atiyah-Singer index theorem

Perhaps you will also like "Heat kernels and Dirac operators" by Nicole Berline,Ezra Getzler,Michèle Vergne (see the google books link here) Perhaps not the "full" Atiyah-Singer index theorem, but t …
Spinorbundle's user avatar
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2 votes

The "miracle" of Heegard Floer.

I'm far away from being an expert, but I think the Heegaard Floer homology was invented by Peter Ozsváth and Zoltán Szabó, so I would recommend the following link to you: click me If this Introductio …
Spinorbundle's user avatar
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