ISSN:
1573-0514
Keywords:
Homotopy groups
;
free loop space
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let A(X) be the space defined by Waldhausen whose homotopy groups define the algebraic K-groups of the space X and let $$B(X) = Q\sum (SE^1 {\text{ }} \times _{S^1 } \Lambda (X))$$ . Here Λ(X) denotes the free loop space of X and Q denotes the functor Ω∞Σ∞. For X = ΣY, 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00533987
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