2
$\begingroup$

Can someone give me a hint on proving that the fibre of a fibration $f: Y \to X$ is homotopy equivalent to its homotopy fibre $Y \times_X X^I$?

  • 1
    Not a hint, but a couple of arguments and references can be found [in this MO-thread](http://mathoverflow.net/questions/53729/the-fiber-of-a-serre-fibration).2011-05-10
  • 0
    Thanks, I already found this. But I don't want the complete argument.2011-05-10
  • 0
    The first step would be to construct a continuous function from one to the other. There appears to be a good choice *from* the fibre *to* the homotopy fibre.2011-05-10

2 Answers 2