Subject: answer to the question 4 Date: Mon, 15 Oct 2001 19:35:45 +0200 (MET DST) From: Marek Golasinski To: Don Davis You wrote: 4) Is anybody having the proof of conditions for lens spaces L(n,k) and L(p,q) to be homeomorphic. ============= I) The complete classification (homotopic, homeomorphic and diffeomorphic) of generalized lens spaces of the form $L(p;q_1,\cdots,q_n)$ can be found in the book by Marshall M.Cohen, "A Course in Simple-Homotopy Theory", Springer-Verlag, New York (1973), p.100. II) The number of homotopy types of generalized lens spaces has been described in the paper "Homotopy spherical space forms - a numerical bound for homotopy types", Hiroshima Math. J. 31 (2001), 107-116. M.Golasinski