Homotopy theory of the suspensions of the projective plane / Jie Wu.

Format:

Book

Author/Creator:

Wu, Jie, 1964- author.

Series:

Memoirs of the American Mathematical Society ; no. 769.

Memoirs of the American Mathematical Society, 0065-9266 ; number 769

Language:

English

Subjects (All):

Homotopy groups.

Homotopy theory.

Loop spaces.

Group theory.

Physical Description:

1 online resource (148 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2003]

Language Note:

English

Summary:

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.

Contents:

""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Preliminary and the Classical Homotopy Theory""; ""2.1. Action of the Steenrod Algebra""; ""2.2. The James Construction and the Cohen Groups""; ""2.3. An Application to the Stiefel Manifolds""; ""2.4. The Strong Form of the Kervaire Invariant One Problem""; ""2.5. The Exponent Problem""; ""2.6. Some Lemmas on Fibrations""; ""Chapter 3. Decompositions of Self Smash Products""; ""3.1. Functorial Decompositions of Self Smashes of Two-cell Complexes""; ""3.2. Decompositions of Self Smashes of RP[sup(2)]""

Notes:

"Volume 162, number 769 (first of 5 numbers)."

Includes bibliographical references (pages 129-130).

Description based on print version record.

ISBN:

1-4704-0367-6