On stable homotopy equivalences
نویسندگان
چکیده
A fundamental construction in the study of stable homotopy is the free infinite loop space generated by a space X. This is the colimit QX = lim −→ ΩΣX. The i homotopy group of QX is canonically isomorphic to the i stable homotopy group of X. Thus, one may obtain stable information about X by obtaining topological results about QX. One such result is the Kahn-Priddy theorem [7]. In another direction, Kuhn conjectured in [8] that the homotopy type of QX determines the stable homotopy type of X. In this note we prove his conjecture for a finite CW-complex X; that is, we prove the following.
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