MathOverflow is a question and answer site for professional mathematicians. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

In studying quasifibration I have a question.

When a quasifibration $F\to E\to B$ is a Hurewicz fibration?

If $F,E$ and $B$ are CW-complex, it is right?

share|cite|improve this question
Having CW complexes is certainly not enough. A "classical" example of a quasifibration that is not a Hurewicz fibration is the projection of an L-shape onto an interval, so that the fiber over one endpoint is an interval and the fiber over all other points is a point. All of these spaces are CW-complexes. – Mike Shulman Apr 6 '11 at 3:40
@Mike: you've provided a valid answer. Why don't you post it as one? – John Klein Apr 6 '11 at 11:51

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.