Subject: question on BS_n
Date: Wed, 6 Feb 2002 11:38:16 +0300
From: "Anton Savin"
To:
Dear Professor Davies,
I have a question to the algebraic topology discussion list:
Consider BS_n, where S_n is the permutation group.
Is there an N-classifying manifold model (for N large), denoted by
(BS_n)_N, that is the boundary of a, say, N/2-connected manifold M?
Remark1. The simplest example I do not understand is n=2.
Remark2. In this problem the bounding manifold is allowed to have
other connected components of the boundary. As an illustration,
one can consider the same problem for (ES_n)_N instead of
(BS_n)_N. This problem is solved by M=finite cyliner with
base (ES_n)_N.
Anton Savin