The Hatcher-Waldhausen map is a spectrum map

DOI10.1007/BF01459797zbMath0803.19002OpenAlexW1972389196MaRDI QIDQ1337520

John Rognes

Publication date: 9 November 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165221

zbMATH Keywords

infinite loop spaceétale \(K\)-theoryHatcher-Waldhausen mappseudoisotopystable concordancespectrum mapWhitehead space

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Computations of higher (K)-theory of rings (19D50) Algebraic (K)-theory of spaces (19D10) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) (J)-homomorphism, Adams operations (19L20)

Related Items

The nilpotence theorem for the algebraic \(K\)-theory of the sphere spectrum ⋮ Brauer groups for commutative \(S\)-algebras ⋮ Algebraic \(K\)-theory of the two-adic integers ⋮ Homotopy-theoretically enriched categories of noncommutative motives

Cites Work

• Unnamed Item
• The Morava K-theory of algebraic K-theory spectra
• \(E_\infty\) ring spaces and \(E_\infty\) ring spectra. With contributions by Frank Quinn, Nigel Ray, and Jorgen Tornehave
• The K-theory of some more well-known spaces
• Infinite loop maps from SF to BO at the prime 2
• The cyclotomic trace and algebraic K-theory of spaces
• A generalization of the homology and homotopy suspension
• The \(K\)-theory of Eilenberg-MacLane complexes
• Characterizing connected K-theory by homotopy groups
• Etale Homotopy of Simplicial Schemes. (AM-104)
• Morse Theory. (AM-51)
• Uniqueness of BSO
• Infinite loop maps in geometric topology
• Infinite Loop Spaces (AM-90)