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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