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Rename f^* to f^{-1} #26
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We can also try to find out if we have a synthetic |
Where is the notation |
Hm, I haven't watched the talk yet, but I believe that for a map In classical algebraic geometry, |
(No idea why the latex is not working...) |
The classical counterpart of bundles $E = (E_y){y : Y}$ is the espace étale of a sheaf. The topological pullback of the espace étale $E$ along a continuous map $f\colon X \to Y$ is fibrewise given by $(E{f(x)})_{x:X}$. Moreover, the constant ring bundle over In other words, the synthetic pullback of bundles behaves as the topological pullback of (the espace étale of) sheaves. The latter is denoted by |
Verbatim because the LaTeX formatter is broken:
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You can always write |
BTW, where are the videos? I presume it is meant this years? Not on the same YT channel that I can see... |
What we call$f^*$ now is actually a topological pullback and we should use the traditional notation $f^{-1}$ . (Comment of @mnieper after my talk today).
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