A Categorical Approach to Matrix Toda Brackets

DOI10.2307/2155056zbMath0843.18004OpenAlexW4248187835MaRDI QIDQ4875805

Howard J. Marcum, Keith A. Hardie, Klaus Heiner Kamps

Publication date: 18 August 1996

Full work available at URL: https://doi.org/10.2307/2155056

zbMATH Keywords

homotopy equivalenceshomotopy groupsabstract homotopy theorylax categoriesmatrix Toda brackets2-category with zerosinvertible 2-morphismsnullity groups

Mathematics Subject Classification ID

Related Items (7)

Determination of the 2-primary components of the 32-stem homotopy groups of \(S^n\) ⋮ Hopf invariants, Toda brackets and the reduced diagonal map ⋮ Long box bracket operations in homotopy theory ⋮ The 2-category of spectra in a 2-category ⋮ Higher Toda brackets and Massey products ⋮ Composition properties of box brackets ⋮ The Toda bracket in the homotopy category of a track bicategory

Cites Work

• The cohomology of homotopy categories and the general linear group
• On the generalized Hopf homomorphism and the higher composition. I, II: \(\pi_{n+i}(S^n)\) for \(i = 21\) and \(22\)
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• TODA BRACKETS AND THE CATEGORY OF HOMOTOPY PAIRS
• COMPUTING HOMOTOPY GROUPS OF A HOMOTOPY PULLBACK
• On Join Operations in Homotopy Groups
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