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Homotopy Theory of the Suspensions of the Projective Plane
 
Jie Wu National University of Singapore, Singapore, Singapore
Front Cover for Homotopy Theory of the Suspensions of the Projective Plane
Available Formats:
Electronic ISBN: 978-1-4704-0367-6
Product Code: MEMO/162/769.E
List Price: $62.00
MAA Member Price: $55.80
AMS Member Price: $37.20
Front Cover for Homotopy Theory of the Suspensions of the Projective Plane
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  • Front Cover for Homotopy Theory of the Suspensions of the Projective Plane
  • Back Cover for Homotopy Theory of the Suspensions of the Projective Plane
Homotopy Theory of the Suspensions of the Projective Plane
Jie Wu National University of Singapore, Singapore, Singapore
Available Formats:
Electronic ISBN:  978-1-4704-0367-6
Product Code:  MEMO/162/769.E
List Price: $62.00
MAA Member Price: $55.80
AMS Member Price: $37.20
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1622003; 130 pp
    MSC: Primary 55; Secondary 20; 57;

    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
     
     
    • Chapters
    • 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 $\Sigma ^n\mathbb {R}\mathrm {P}^2$
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Volume: 1622003; 130 pp
MSC: Primary 55; Secondary 20; 57;

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.

  • Chapters
  • 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 $\Sigma ^n\mathbb {R}\mathrm {P}^2$
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