On the homotopy of certain mapping spaces

DOI10.2996/kmj/1138038882zbMath0667.55010OpenAlexW2002968967MaRDI QIDQ1117499

Seiya Sasao

Publication date: 1988

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138038882

zbMATH Keywords

homotopy groups of subspaces of the space of based self-maps of the total space in a principal bundle over the n-spherehomotopy sequences for fibrations of mapping spacesspace of bundle maps

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Fiber bundles in algebraic topology (55R10) Homotopy groups of special spaces (55Q52)

Cites Work

• Unnamed Item
• The stable group of self-homotopy equivalences of sphere bundles over the sphere
• A Study of Function Spaces by Spectral Sequences
• On Spaces of Maps between Complex Projective Spaces
• On Spaces of Maps of n-Manifolds Into the n-Sphere
• The Homotopy of Map(Cp ^m , CP ⁿ )
• Track Groups (I)
• A generalization of the Hopf invariant