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Homotopy Theory of the Suspensions of the Projective Plane
Available Formats:
Electronic ISBN: 9781470403676
Product Code: MEMO/162/769.E
List Price: $62.00
MAA Member Price: $55.80
AMS Member Price: $37.20
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Homotopy Theory of the Suspensions of the Projective Plane
Available Formats:
Electronic ISBN:  9781470403676 
Product Code:  MEMO/162/769.E 
List Price:  $62.00 
MAA Member Price:  $55.80 
AMS Member Price:  $37.20 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 162; 2003; 130 ppMSC: 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.
ReadershipGraduate 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: 162; 2003; 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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