On the stable homotopy of the real projective space of even low dimension

DOI10.2977/prims/1195178373zbMath0605.55012OpenAlexW2047098951MaRDI QIDQ1083716

Juno Mukai

Publication date: 1986

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178373

zbMATH Keywords

stable homotopy groupgroup of self-homotopy equivalencescomposition methodsKahn-Priddy mapreal n-dimensional projective spacesecondary composition

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Stable homotopy groups (55Q10) Stable homotopy of spheres (55Q45)

Related Items

Homotopies of maps of suspended real and complex projective spaces and their cohomotopy groups, Stable self-homotopy equivalences, Self maps of \(\Sigma ^ k{\mathbb{C}}P^ 3\) for k\(\geq 1\), Factorization of units and groups of stable homotopy equivalences

Cites Work

• A remark on James numbers of Stiefel manifolds
• Order of the identity class of a suspension space
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Homotopy of the exceptional Lie group G₂
• Thom Complexes
• A Theorem in Homological Algebra and Stable Homotopy of Projective Spaces
• The metastable homotopy of 𝑆ⁿ
• STABLE HOMOTOPY OF SOME ELEMENTARY COMPLEXES