A categorical context for the james-hopf maps

DOI10.1080/00927878708823521zbMath0649.55005OpenAlexW2044900132MaRDI QIDQ3794888

Daniel S. Chess

Publication date: 1987

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878708823521

zbMATH Keywords

homotopy colimitinfinite loop spaceKervaire invariantsymmetric monoidsconnective \(\omega \)-spectralax symmetric monoidal functorssmall symmetric monoidal categoriesstable James-Hopf maps

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Infinite loop spaces (55P47) Hopf invariants (55Q25)

Cites Work

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• Singularity theory and configuration space models of \(\Omega ^ nS^ n\) of non-connected spaces
• \(\Gamma^+\)-structures. III: The stable structure of \(\Omega^\infty\Sigma^\infty A\)
• Categories and cohomology theories
• The Kervaire invariant of framed manifolds and its generalization
• The geometry of iterated loop spaces
• Codimension one immersions and the Kervaire invariant one problem
• First quadrant spectral sequences in algebraic k-theory via homotopy colimits
• Higher algebraic K-theory: I
• Homotopy colimits in the category of small categories
• Splitting of certain spaces CX

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