Abstract
Surely, not in all Serre fiberings p: X → Y a connection exists, even though we have lifting of curves from the base Y to curves in the bundle space of given starting point x 0: in order to do this, it suffices to take as the polynomial W the one point set {x 0}. But let us stress the connection in the bundle p: X → Y is something more that the possibility of lifting (arbitrary) curves; the operation (of lifting) Γ must be continuous as well!
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© 1997 Springer Science+Business Media Dordrecht
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Maurin, K. (1997). Homotopy Group π k(X, x 0). Hopf Fibering. Serre Theorem on Exact Sequence of Homotopy Groups of a Fibering. In: The Riemann Legacy. Mathematics and Its Applications, vol 417. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8939-0_31
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DOI: https://doi.org/10.1007/978-94-015-8939-0_31
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4876-9
Online ISBN: 978-94-015-8939-0
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