Timeline for Why should I prefer bundles to (surjective) submersions?
Current License: CC BY-SA 2.5
4 events
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May 4, 2010 at 17:48 | comment | added | some guy on the street | @Andrew, perhaps Konrad is liberal with the term "curve". I certainly didn't mean you can lift maps with arbitrary domain --- fibration only means you can lift whole homotopies that already lift at one end. | |
May 2, 2010 at 5:55 | comment | added | AndrewLMarshall | Konrad Waldorf, I do not understand. Take the boundary of the mobius band, i.e., the nontrivial Z_2 bundle over S^1. There is no section for the projection. | |
Mar 11, 2010 at 8:28 | comment | added | Konrad Waldorf | Good answer! You can lift any curve in the base into the total space of a bundle, but you can't lift it into the total space of a submersion. | |
Mar 11, 2010 at 6:05 | history | answered | some guy on the street | CC BY-SA 2.5 |