## Algebraic Topology: Proceedings, University of British Columbia, Vancouver, August 1977 |

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### Contents

BUNDLE THEORY | 32 |

HOMOTOPY THEORY NILPOTENT SPACES LOCALIZATION | 158 |

Flag Manifolds and Horaotopy Rigidity of Linear Actions | 254 |

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### Common terms and phrases

a-structured automorphism AZ,d bundle classifying space cobordism cohomology commutative diagram compact completes composite construction Corollary corresponding CW-complex cyclic decomposables defined denote direct sum Edited elements epimorphism exact sequence fibration finite type follows free homotopy given H-space Hasse Principle Hence homology homology algebra homology operations homomorphism homotopy classes homotopy equivalence homotopy groups homotopy theory homotopy type Hurewicz fibrations implies inclusion infinite loop map infinite loop spaces integer inverse isomorphism JO(q K-theory Lemma localization manifolds map f Math metric module monoidal monomorphism morphisms movable neighborhood nilpotent group nilpotent spaces obtain orthogonal permutative category permutative functor prime Proof of Theorem Prop Proposition prove q odd q q q quadratic space result ring S-map shape theory spectral sequence Steenrod structure subgroup subset Sylow Sylow subgroup symmetric symplectic topological group topology torsion trivial Universal vector space