Homotopy theory of the suspensions of the projective plane

著者

書誌事項

Homotopy theory of the suspensions of the projective plane

Jie Wu

(Memoirs of the American Mathematical Society, no. 769)

American Mathematical Society, 2003

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注記

"March 2003, volume 162, number 769 (first of 5 numbers)"

Includes bibliographical references (p. 129-130)

内容説明・目次

内容説明

Investigates the homotopy theory of the suspensions of the real projective plane. This book computes the homotopy groups up to certain range. It also studies the decompositions of the self smashes and the loop spaces with some applications to the Stiefel manifolds.

目次

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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