Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



On $ {\rm Ext}\sb {K\sb *(K)}(\pi\sb *(K)$, $ K\sb *(MU))$

Author: Francis Clarke
Journal: Proc. Amer. Math. Soc. 74 (1979), 156-160
MSC: Primary 55T15; Secondary 55N20
MathSciNet review: 521890
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Abstract: In this note a spectral sequence is constructed which is used to prove the existence of elements of nonzero homological degree in $ {\operatorname{Ext}_{{K_ \ast }(K)}}({\pi _ \ast }(K), {K_ \ast }(MU))$. Examples of specific elements in terms of representatives in the cobar construction are given.

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Keywords: K-theory, unitary bordism, Adams spectral sequence
Article copyright: © Copyright 1979 American Mathematical Society