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| Authors: | Robert D. Thompson |
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| Affiliation: | Hunter College and the Graduate Center, CUNY, 695 Park Avenue, New York, New York 10021 |
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| Abstract: | In this paper we analyze the localization of  , the fiber of the double suspension map  , with respect to  . If four cells at the bottom of  , the  th extended power spectrum of the Moore spectrum, are collapsed to a point, then one obtains a spectrum  . Let  be the James-Hopf map followed by the collapse map. Then we show that the secondary suspension map  has a lifting to the fiber of  and this lifting is shown to be a  -periodic equivalence, hence an  -equivalence. |
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| Keywords: | {$L_2$}-localization double suspension {$v_2$}-periodicity |
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