## The Relation of Cobordism to K-theories |

### From inside the book

Results 1-3 of 10

Page 22

Consider the category 6 of finite cw complexes

Consider the category 6 of finite cw complexes

**base point**, and of**base point**preserving maps . Denote by G the category of z - graded abelian groups and degree preserving homomorphisms . cohomology theory on 6 is a contravariant ...Page 25

SU A spectrum M is a sequence M2 , M2 M 2n of Cw complexes with

SU A spectrum M is a sequence M2 , M2 M 2n of Cw complexes with

**base point**, together with**base point**preserving maps s st л м Ma Given a finite CW complex X with**base point**, > Marlo denote by [ X , Mnd the homotopy classes of 25 ...Page 67

Note that in particular the theorem holds for x = sen + k . ( 11.3 ) COROLLARY . Suppose that X is a finite CW complex with

Note that in particular the theorem holds for x = sen + k . ( 11.3 ) COROLLARY . Suppose that X is a finite CW complex with

**base point**such that ñ * ( x ) is a free a -module . In the diagram SU SU * 7 " ( x ) ŝ80 " ( x ) 67.### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

CONTENTS 1 | 1 |

Tensor products of exterior algebras | 5 |

Application to bundles | 11 |

Copyright | |

16 other sections not shown

### Other editions - View all

### 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