There is one point I don't understand about G-torsor.(adsbygoogle = window.adsbygoogle || []).push({});

A Lie group G acts freely and transitively on a manifold F.

F x G -> F

(f, g) -> fg, f(g1g2) = (fg1)g2

is a smooth map.

fix an element f of F

then the map h

F -> G

fg -> g

is a homeomorphism.

I know h is open from the continuity of the map

{f} x G -> F

g -> fg

How to see h is continuous?

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# There is one point I don't understand about G-torsor.

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