The free loop space and the algebraic k-theory of spaces |
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| Authors: | G E Carlsson R L Cohen T Goodwillie and W c Hsiang |
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| Institution: | (1) University of California, San Diego, La Jolla, California, USA;(2) Stanford University, Stanford, California, USA;(3) Harvard University, Cambridge, Massachusetts, USA;(4) Princeton University, Princeton, New Jersey, USA |
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| Abstract: | Let A(X) be the space defined by Waldhausen whose homotopy groups define the algebraic K-groups of the space X and let
. Here  (X) denotes the free loop space of X and Q denotes the functor    . For X = Y, the suspension of a connected space Y, we shall prove that the homotopy fibers Ã(X), B(X) of the maps A(X)  A (point), B(X) B (point) are equivalent as infinite loop spaces. |
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| Keywords: | Homotopy groups free loop space |
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