Hopf invariants, Toda brackets and the reduced diagonal map

DOI10.1016/j.topol.2010.10.002zbMath1267.55005OpenAlexW2027880381MaRDI QIDQ616938

Nobuyuki Oda, Howard J. Marcum

Publication date: 12 January 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2010.10.002

zbMATH Keywords

conic structurematrix Toda bracketweak LS-category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Operations in homotopy groups (55Q35) Hopf invariants (55Q25)

Cites Work

• A theory of PWD-structures
• Fibrations over double mapping cylinders
• A\(_{\infty}\)-method in Lusternik-Schnirelmann category
• Two results on cofibers
• On Hopf invariants
• Cogroups and suspensions
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• FUNCTORIAL PROPERTIES OF THE HOPF INVARIANT I
• A Categorical Approach to Matrix Toda Brackets
• Hopf-Ganea invariants and weak LS category
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