Memoirs of the American Mathematical Society 2003; 130 pp; softcover Volume: 162 ISBN10: 0821832395 ISBN13: 9780821832394 List Price: US$62 Individual Members: US$37.20 Institutional Members: US$49.60 Order Code: MEMO/162/769
 The homotopy theory of the suspensions of the real projective plane is largely investigated. The homotopy groups are computed up to certain range. The decompositions of the self smashes and the loop spaces are studied with some applications to the Stiefel manifolds. Readership Graduate students and research mathematicians interested in algebraic topology. Table of Contents  Preliminary and the classical homotopy theory
 Decompositions of self smash products
 Decompositions of the loop spaces
 The homotopy groups \(\pi_{n+r}(\Sigma^n\mathbb{R}\mathrm{P}^2)\) for \(n\geq 2\) and \(r\leq8\)
 The homotopy theory of \(\Sigma\mathbb{R}\mathrm{P}^2\)
 Bibliography
