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Proceedings of the American Mathematical Society

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Essential maps exist from $ B{\rm U}$ to $ {\rm Coker}\, J$


Author: Mark Feshbach
Journal: Proc. Amer. Math. Soc. 97 (1986), 539-545
MSC: Primary 55N20; Secondary 55P42, 55Q55
MathSciNet review: 840642
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Abstract: We show that $ [{\text{BU,coker}}\,J] \ne 0$ but that there are no infinite loop maps from BU to coker $ J$. The proofs involve the Segal conjecture.


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DOI: https://doi.org/10.1090/S0002-9939-1986-0840642-5
Keywords: Infinite loop maps, Segal conjecture, stable cohomotopy, compact Lie group
Article copyright: © Copyright 1986 American Mathematical Society