Subject: 4 Questions
Date: Mon, 15 Oct 2001 09:06:05 +0530
From: "Priyavrat C. Deshpande" <pdeshpande@ip.eth.net>
To: <dmd1@lehigh.edu>

Hi

I've got 4 questions.

1> What is the rigourus proof for, comb space with finitely many teeth is
a    retract of I*I.

2> A concrete example such that, p: X -> Y and q: Y-> Z are covering maps
and    q-1(z) is infinite so q(p) : X -> Z is not a cov. map.

3> h is a antipode preserving map from S1 to S1 with h(x) = y.
   TPT h* maps a generator of pi1(S1, x) to an odd multiple of a generator
of    a generator of pi1(s1,y).

4> Is anybody having the proof of conditions for lens spces L(n,k) and
L(p,q)    to be homeomorphic.

Bye,

Priyavrat.