## The Relation of Cobordism to K-theories |

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Page 54

We may use the

We may use the

**proof**of ( 8.1 ) , making suitable replacements including the replacement of fu by ph . In order to use that Z**proof**, we need phē ch ( 2 - 5n ) . There is the natural diagram s 4n + 3 / f CP ( 2n + 1 ) HP ( n ) from ...Page 63

Sp * a Sp

Sp * a Sp

**Proof**. with a crucial change , the**proof**is quite similar to the**proof**of ( 10.1 ) . The minor changes we leave to the reader , and go directly to the critical point . Note that the**proof**of ( 10.1 ) proceeded in three stages ...Page 100

Then r mod l E Q / z is a function only of a and Adams defines ela ) = r mod 1 E Q / Z . We give a

Then r mod l E Q / z is a function only of a and Adams defines ela ) = r mod 1 E Q / Z . We give a

**proof**due to P. S. Landweber of the following theorem ; it replaces a more awkward**proof**of our own . ( 16.2 ) THEOREM .### What people are saying - Write a review

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### Contents

CONTENTS 1 | 1 |

Tensor products of exterior algebras | 5 |

Application to bundles | 11 |

Copyright | |

16 other sections not shown

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### Common terms and phrases

abelian According acts Adams assigning associated base point basis bordism bordism classes BSp(n Chapter characteristic Chern classes Chern numbers classes closed U-manifold cobordism coefficient commutativity compact U,fr)-manifold complex vector space composition consider construction COROLLARY CP(n define definition denote diagram dimension element equivalence exact exists fact fiber finite CW complex follows function give given Hence holds homo topy homomorphism HP(n identified induced integer isomorphism K-theory KSP(X line bundle linear manifold Moreover MU(K Namely natural Note obtain particular partition polynomial Proof prove quaternionic represented respectively ring seen Similarly stable tangent bundle stably framed structure su(n sufficient Suppose theorem Thom Todd genus trivial U-structure U,fr U(n)-bundle unique universal vector space bundle