## Algebraic Topology: New Trends in Localization and Periodicity : Barcelona Conference on Algebraic Topology, Sant Feliu de Guâixols, Spain, June 1-7, 1994Central to this collection of papers are new developments in the general theory of localization of spaces. This field has undergone tremendous change of late and is yielding new insight into the mysteries of classical homotopy theory. The present volume comprises the refereed articles submitted at the Conference on Algebraic Topology held in Sant Feliu de Guíxols, Spain, in June 1994. Several comprehensive articles on general localization clarify the basic tools and give a report on the state of the art in the subject matter. The text is therefore accessible not only to the professional mathematician but also to the advanced student. |

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### Contents

IV | 1 |

V | 23 |

VI | 33 |

VII | 51 |

VIII | 61 |

IX | 69 |

X | 95 |

XI | 119 |

XIX | 223 |

XX | 235 |

XXI | 241 |

XXII | 255 |

XXIII | 261 |

XXIV | 271 |

XXV | 285 |

XXVI | 307 |

XII | 143 |

XIII | 155 |

XIV | 167 |

XV | 185 |

XVI | 193 |

XVII | 201 |

XVIII | 209 |

XXVII | 329 |

XXVIII | 337 |

XXIX | 353 |

XXX | 363 |

XXXI | 381 |

XXXII | 393 |

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1-connected abelian group action Bousfield caleulation centerfree classifying space closed class coefficients cofibration cohomology colimit commutative compact Lie group complex consider construction Corollary cyclic homology defined definition degree denote diagram differential dimension Dror Farjoun elementary automorphisms elements example exists extension fibration fibre fibrewise fixed-point follows functor genus given Gl(U graded algebra group G H*V-A-module instable hence Hochschild Hochschild homology homomorphism homotopy classes homotopy colimit homotopy equivalent homotopy groups homotopy theory homotopy type Hopf implies induces injective invariant isomorphism K-theory kernel lattice Lemma Let G locally loop space mapping class group Mislin module morphism nilpotent group odd prime p-compact groups p-group p-local polynomial proof of Theorem Proposition prove pseudo reflection group quotient rational representation result ring satisfies short exact sequence simplicial set simply connected spectral sequence Steenrod algebra structure subgroup Topology torsion trivial vector weak equivalence