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Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras

72 votes
3 answers
8k views

Where do all these projection formulas come from?

I have been intrigued for a long time by the formal similarity of results from different areas of mathematics. Here are some examples. Set theory Given a map $f:X\to Y$ and subsets $X' \subset X, Y'\ …
Georges Elencwajg's user avatar
21 votes
1 answer
2k views

Are the Stiefel-Whitney classes of a vector bundle the only obstructions to its being invert...

Consider vector bundles on connected paracompact topological spaces. Such a vector bundle $E$ on $X$ is said to be invertible if there exists some other bundle $F$ whose sum with $E$ is trivial: $E\op …
Georges Elencwajg's user avatar