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Abstract. Several improvements are made to the 2-primary homotopy theory of the double suspension. We refine Richter's factorization of the second-power map on through the loops on the double suspension, show that the 4 th -power map on factors through the double suspension, and that the 4 th -power map on is null homotopic, where is the fiber of the double suspension. The latter two results are improvements by one loop.
Forum Mathematicum – de Gruyter
Published: Mar 1, 2013
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