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  • 1
    Electronic Resource
    Electronic Resource
    Hermitian structures onA ∞ ring spaces (1992)
    Springer
    K-Theory 6 (1992), S. 519-558 
    Details
    ISSN: 1573-0514
    Keywords: HermitianK-theory ; K-theory of spaces ; spaces of homotopy equivalences and homeomorphisms ; A ∞ ring spaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Hermitian structures onA ∞ ring spaces are studied as necessary input data for HermitianK-theory of spaces. Especially 1/2-locally a coherence structure is derived for the involution onQ(ΩM +),M a compact manifold, arising from the stable tangent bundle. The eventual goal is to lift the rational results of Burghelea-Fiedorowicz on the relation of the space of homotopy equivalences modulo homeomorphisms ofM and hermitianK-theory to 1/2-local ones.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00997380
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    HermitianK-theory ofA ∞ rings. Homotopy invariance and the hyperbolic map (1992)
    Springer
    K-Theory 6 (1992), S. 559-585 
    Details
    ISSN: 1573-0514
    Keywords: A ∞ ring ; HermitianK-theory ; Hermitian matrix ring ; homotopy invariance ; simplicial ring ; hyperbolic map ; Waldhausen's algebraicK-theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This is the second of a series of papers on the HermitianK-theoryδ L(X) of anA ∞ ringX. Here we give its construction as an infinite loop space and alternative descriptions of its underlying space in terms of the Hermitian matrix ring overX. We investigate its relation to the HermitianK-theories of discrete and simplicial rings with involution and to Waldhausen'sK-theoryK(X) ofX, and its behavior under n-connected maps betweenA ∞ rings.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00997381
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    Paper (German National Licenses)
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