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for questions about fiber bundles, including structure groups, principal bundles, and spaces of sections.

5 votes
2 answers
393 views

Examples and references for Kan-like extensions?

Left and right Kan extensions are both "push-forwards" that share a certain property. I'd like to hear other, non-Kan, examples of such push-forwards, as well as perhaps a better way to think about th …
David Spivak's user avatar
  • 8,659
6 votes
Accepted

Bundle-to-function correspondence

This answer comes by private correspondence from Mathieu Anel. I record it here, with some minor clean-up, because it's exactly what I was looking for. --David Spivak Here are some thoughts about …
David Spivak's user avatar
  • 8,659
10 votes
1 answer
502 views

Bundle-to-function correspondence

To a morphism of sets $f\colon E\to B$ with finite fibers, one may assign a function $$|f^{-1}|\colon B\to{\mathbb N}$$ sending an element $b\in B$ to the cardinality of the fiber $f^{-1}(b)$. To a …
David Spivak's user avatar
  • 8,659