Subject:
question for the list
From:
Gustavo Granja <ggranja@math.ist.utl.pt>
Date:
Mon, 9 May 2005 16:31:47 +0100 (WEST)
To:
Don Davis <dmd1@lehigh.edu>

A colleague of mine who is a symplectic geometer would like a reference
for a result of the following type:

If $f: E \to B$ is a (nice) map [but not a Serre fibration] all of whose fibers are $r$-connected then $f$ induces an isomorphism on $\pi_k$ for $k \leq r$.

In the example she has in mind, $f$ is an orbibundle map with compact fibers.

The only approximate reference I am aware of is the appendix on Homotopy colimits (the section on decomposing general maps into free diagrams) in Emmanuel Dror-Farjoun's lecture notes but this is not so easy to read for most geometers...

Gustavo Granja