Long box bracket operations in homotopy theory

DOI10.1007/S10485-009-9186-3zbMath1227.55015OpenAlexW1986790303MaRDI QIDQ633794

Howard J. Marcum, Nobuyuki Oda

Publication date: 30 March 2011

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-009-9186-3

zbMATH Keywords

homotopy groups of spheres2-categorybox bracket (triple, long)suspension functorToda bracket (quaternary, long)

Mathematics Subject Classification ID

Operations in homotopy groups (55Q35) Homotopy groups of spheres (55Q40)

Related Items (1)

Higher Toda brackets and Massey products

Cites Work

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• Composition properties of box brackets
• Fibrations over double mapping cylinders
• Triple brackets and lax morphism categories
• Two results on cofibers
• The Toda bracket in the homotopy category of a track bicategory
• The decomposition of stable homotopy
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• COMPUTING HOMOTOPY GROUPS OF A HOMOTOPY PULLBACK
• FUNCTORIAL PROPERTIES OF THE HOPF INVARIANT I
• A Categorical Approach to Matrix Toda Brackets
• Universal Toda brackets of ring spectra
• Higher Order Operations

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