## The Relation of Cobordism to K-theories |

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Page 46

There is the natural map TV : HP ( 5 ) → X , a locally trivial 4m - 1 fibering with

There is the natural map TV : HP ( 5 ) → X , a locally trivial 4m - 1 fibering with

**fiber**HP ( m - l ) . An inclusion s CS ( 5 ) , where is a**fiber**of S ( 5 ) , induces an inclusion i : HP ( m - 1 ) C HP ( 5 ) .Page 48

... based on the fibering no T1 : CP ( E ) > X with

... based on the fibering no T1 : CP ( E ) > X with

**fiber**CP ( 1 - 1 ) . 8 . Characteristic classes in cobordisn . In this section we set up central tools for this chapter . Recall that in section 5 we have considered the cohomology ...Page

12 : A. Dold , Halbexakte Homotopiefunktoren . II , 157 Seiten . 1966. DM 12 ,Vol . 13 : E. Thomas , Seminar on

12 : A. Dold , Halbexakte Homotopiefunktoren . II , 157 Seiten . 1966. DM 12 ,Vol . 13 : E. Thomas , Seminar on

**Fiber**Spaces . VI , 45 pages . 1966. DM 4,80 Vol . 27 : H. P. Künzi und S. Tien Tan , Lineare Optimierung großer Systeme .### 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