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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 Click above image for expanded view 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.

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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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.

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