A Note on the Ko-tkeory of Sphere-bundles by Raoul Bott
نویسنده
چکیده
1. Two vector bundles E and F over the finite connected CW complex X are /-equivalent, if their sphere-bundles S(E) and S(F) are of the same fiber-homotopy type. If they become /-equivalent after a suitable number of trivial bundles is added to both of them they are stably /-equivalent. This note concerns itself with a new stable /-invariant 6(E), which was suggested by the recent work of Atiyah-Hirzebruch [2] and F. Adams [l ]. In fact 0(E) bears the same relation to the Adams operation \pi, as the Stiefel-Whitney class—a known /-invariant—bears to the Steenrod operations.
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