## A relation between obstructions and functional cohomoly operations |

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### Contents

Definition and Basic Properties of | 6 |

Naturality and the Main Theorem | 48 |

Y BU | 69 |

1 other sections not shown

### Common terms and phrases

as+1 assume ATi(a BU(n c(q+l Chern class classifying spaces cocycle cohomology class cohomology groups commutative diagram commutative square completes the proof composite compute the obstruction congruence class modulo CW complex CW pair Definition 2.82 deformation retraction denotes diagram chasing diagram l.l dimensions less Eilenberg-MacLane space element equation extension problem f,g)rel fiber fibration functional cohomology operation functional operation fundamental class homomorphism f homotopy decomposition homotopy problem Hurewicz homomorphism hypothesis image zero implies inclusion indeterminacy integer isomorphism k-invariant lens space Let X,A level invariant long exact sequence map f map of pairs mapping cylinder means modulo the image n-factorization nonvanishing homotopy group notation numbers obstruction in dimension obstruction theory Olum Olum's formula pair and f polynomial Postnikov system primary cohomology operation prime proof of Theorem Proposition retraction problem second obstruction set of homomorphisms smallest torsion coefficient stable primary operation subset Theorem thesis tion X U Yf