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Homotopy Theory of the Suspensions of the Projective Plane
Jie Wu, National University of Singapore, Singapore

Memoirs of the American Mathematical Society
2003; 130 pp; softcover
Volume: 162
ISBN-10: 0-8218-3239-5
ISBN-13: 978-0-8218-3239-4
List Price: US$62
Individual Members: US$37.20
Institutional Members: US$49.60
Order Code: MEMO/162/769
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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.


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
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