## The Relation of Cobordism to K-theories |

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Page 23

... then a x b = ( -1 ) 131 * ( B x a ) , 6 ) there exists an element leñ ? ( s ? ) such that ñ- ( x ) = 1 + 1 ( 8X ) is

... then a x b = ( -1 ) 131 * ( B x a ) , 6 ) there exists an element leñ ? ( s ? ) such that ñ- ( x ) = 1 + 1 ( 8X ) is

**given**by a → a , 7 )**given**maps f : X - X ' and 8 : Y- > Y ' and a ε h b € ñ ( Y ) , then ( fn 8 ) * ( a + b ) = f ...Page 71

there is induced x Jo where J

there is induced x Jo where J

**Given**such an operator J on E ( T ) x Raken , an operator Ji on E ( T ) x R2k - nx Ra**given**by Ji = J XJ → R2 is**given**by J. ( s , t ) ( -t , s ) . It may be seen from this that the giving of a U ...Page 72

Suppose that n is

Suppose that n is

**given**and that for each partition of n we are**given**an integer a . What are à 12 , ... , te necessary and sufficient conditions that there exists a closed U - manifold man with { 12 .... , dop ] iu - Cip in , .### 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