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The Map SJ → SF Does Not Deloop Mod 2

Published online by Cambridge University Press:  20 November 2018

Robert R. Clough*
Affiliation:
Burroughs Corporation, Chicago, Illinois
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It has been widely conjectured that there exists a homotopy commutative Diagram

where J is the stable Whitehead f-homomorphism and BSJ is the space constructed in [3]. In [4], Stasheff and the author proved that this conjecture is false. However, Quillen's proof of the Adams conjecture in [7] has as a corollary the existence of the homotopy commutative diagram

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1975