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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 …
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 …
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 …