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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'\ …
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 …