## The Relation of Cobordism to K-theories |

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Page 68

SU to a result of

SU to a result of

**Adams**( 3 ) , the right hand side is as stated and the assertion follows . In a later section we give a bordism proof of the theorem of**Adams**. disjoint union . Moreover the cartesian product ...Page 100

Then r mod l E Q / z is a function only of a and

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 .Page 102

We are now in a position to borrow the results of

We are now in a position to borrow the results of

**Adams**( 3 ) which completely analyze the image of e . For each positive integer n , denote by Bn the nth Bernoulli number . Denote by an the denominator of B / 4n in lowest terms ( for ...### 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