GROUPS OF SELF-EQUIVALENCES OF SUSPENDED REAL PROJECTIVE SPACES

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概要

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• The group consisting of the based homotopy classes of self-homotopy equivalences is called the self-equivalence group. We determine the group structures of self-equivalence groups, for the suspended real projective space whose dimension is less than or equal to six. The method is to study the multiplicative structure of self-homotopy set induced from the composition of maps. Finding out the invertible element of this monoid give almost all structures of self-equivalence groups. The group of the 1-fold suspension of the four-dimensional real projective space which is not determined similarly is obtained by the another method thought of from Rutter's paper.

• 九州大学の論文

著者

• Inoue Tomohisa

  Graduate School Of Science And Technology Shinshu University

関連論文

• Lifting to the suspension of the real projective plane
• GROUPS OF SELF-EQUIVALENCES OF SUSPENDED REAL PROJECTIVE SPACES
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