3 ms·
Never heard of a principal bundle being referred to as a "torsor" - but Wikipedia informs me they're synonyms. Very cool!
by plaguepilled 4y ago
Never heard of a principal bundle being referred to as a "torsor" - but Wikipedia informs me they're synonyms. Very cool!
- C-x_C-f 4y agoA principal bundle is not itself a torsor (unless the base space is a point); only the fiber over each point is.
- red_trumpet 4y agoAlgebraic geometers use both terms for the same thing. From [1]: > In algebraic geometry, a torsor or a principal bundle is an analog of a principal bundle in algebraic topology. So I wouldn't be too surprised if other people confuse this too. [1] https://en.wikipedia.org/wiki/Torsor_(algebraic_geometry) https://en.wikipedia.org/wiki/Torsor_(algebraic_geometry)