Subject: weak equivalence pi_k(X)-->pi_k(Y) if k>n From: Gaucher Philippe Date: Thu, 22 Jun 2006 16:00:01 +0200 Dear All Is there a known construction on the category of compactly generated topological spaces, or on the category of simplicial sets of a model category structure such that X-->Y is a weak equivalence iff pi_k(X)-->pi_k(Y) is an isomorphism for k > n (n fixed). (for kD^{n+1}). Thanks in advance. pg.