Commit 2026-09-30 15:24 6f454283

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feat: in characteristic 0, precomposition by a linear map is analytic on the space of alternating maps (#43338) This is the main missing ingredient to show that the bundle of alternating maps between C^n vector bundles is C^n, in #43234. I was surprised to see that I need characteristic 0 (I could also do the proof in positive characteristic for finite-dimensional T2 spaces, but not in general -- not included in this PR, because the characteristic 0 is the one that interests me). I was afraid I was missing something stupid, then I checked Bourbaki and they have the same condition so it's probably reasonable after all.

Estimated changes

added theorem CPolynomialAt.prodMk
added theorem CPolynomialAt.smul
modified theorem CPolynomialOn.add
added theorem CPolynomialOn.prodMk
added theorem CPolynomialOn.smul
modified theorem CPolynomialOn.sub
modified theorem CPolynomialOn_const