The Grassmannian geometry of spectra

DOI10.1016/0022-4049(88)90023-0zbMath0681.55007OpenAlexW2090273079MaRDI QIDQ1823505

A. D. Elmendorf

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90023-0

zbMATH Keywords

Grassmannianspectrastable homotopyparametrized spaces

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Fiber bundles in algebraic topology (55R10)

Related Items (8)

Function spectra ⋮ Transfer maps for fibrations ⋮ Stable homotopy theories and stabilization ⋮ Automorphisms of manifolds and algebraic K-theory. II ⋮ Realising formal groups ⋮ Flag manifolds and the Landweber-Novikov algebra ⋮ Is there a convenient category of spectra? ⋮ On cobordism of manifolds with corners

Cites Work

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• The homotopy category of parametrized spectra
• Triple products in the category of spectra over a space
• \(H_{\infty}\) ring spectra and their applications
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Duality and transfer for parametrized spectra
• Topics in K-theory. L. Hodgkin: The equivariant Künneth theorem in K- theory. V. Snaith: Dyer-Lashof operations in K-theory
• Open maps, colimits, and a convenient category of fibre spaces
• Lectures on the Eilenberg-Moore spectral sequence
• The exponential law of maps. II
• Ex-homotopy theory. I
• What precisely are $E_{\infty}$ ring spaces and $E_{\infty}$ ring spectra?
• ON THE CONCEPT OF FIBER SPACE
• Classifying Spaces and Infinite Symmetric Products

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