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Homotopy theory of the suspensions of the projective plane

About this Title

Jie Wu

Publication: Memoirs of the American Mathematical Society
Publication Year: 2003; Volume 162, Number 769
ISBNs: 978-0-8218-3239-4 (print); 978-1-4704-0367-6 (online)
DOI: https://doi.org/10.1090/memo/0769
MathSciNet review: 1955357
MSC: Primary 55Q52; Secondary 20F38, 55P35, 57T05, 57T20

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Preliminary and the classical homotopy theory
  • 3. Decompositions of self smash products
  • 4. Decompositions of the loop spaces
  • 5. The homotopy groups $\pi _{n+r} (\Sigma ^n \mathbb {R}\mathrm {P}^2)$ for $n \geq 2$ and $r \leq 8$
  • 6. The homotopy theory of $\Sigma \mathbb {R}\mathrm {P}^2$
  • The table of the homotopy groups of $\Sigma ^n\mathbb {R}\mathrm {P}^2$