Axiomatic, Enriched and Motivic Homotopy Theory

  • J. P. C. Greenlees

Part of the NATO Science Series book series (NAII, volume 131)

Table of contents

  1. Front Matter
    Pages i-xi
  2. General Surveys

    1. Front Matter
      Pages 1-1
    2. W. G. Dwyer
      Pages 3-28
    3. J. F. Jardine
      Pages 29-68
    4. N. P. Strickland
      Pages 69-98
  3. Special Surveys

    1. Front Matter
      Pages 99-99
    2. James E. McClure, Jeffrey H. Smith
      Pages 133-171
    3. Bertrand Toën, Gabriele Vezzosi
      Pages 173-216
  4. Motivic Homotopy Theory

    1. Front Matter
      Pages 217-217
    2. Fabien Morel
      Pages 219-260
    3. I. Panin, A. Smirnov
      Pages 261-333
    4. Victor Snaith
      Pages 335-383

About these proceedings

Introduction

The NATO Advanced Study Institute "Axiomatic, enriched and rna­ tivic homotopy theory" took place at the Isaac Newton Institute of Mathematical Sciences, Cambridge, England during 9-20 September 2002. The Directors were J.P.C.Greenlees and I.Zhukov; the other or­ ganizers were P.G.Goerss, F.Morel, J.F.Jardine and V.P.Snaith. The title describes the content well, and both the event and the contents of the present volume reflect recent remarkable successes in model categor­ ies, structured ring spectra and homotopy theory of algebraic geometry. The ASI took the form of a series of 15 minicourses and a few extra lectures, and was designed to provide background, and to bring the par­ ticipants up to date with developments. The present volume is based on a number of the lectures given during the workshop. The ASI was the opening workshop of the four month programme "New Contexts for Stable Homotopy Theory" which explored several themes in greater depth. I am grateful to the Isaac Newton Institute for providing such an ideal venue, the NATO Science Committee for their funding, and to all the speakers at the conference, whether or not they were able to contribute to the present volume. All contributions were refereed, and I thank the authors and referees for their efforts to fit in with the tight schedule. Finally, I would like to thank my coorganizers and all the staff at the Institute for making the ASI run so smoothly. J.P.C.GREENLEES.

Keywords

Brown representability Cohomology Homotopy Hurewicz theorem Sheaf cohomology cohomology theory homology homotopy theory

Editors and affiliations

  • J. P. C. Greenlees
    • 1
  1. 1.University of SheffieldUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-0948-5
  • Copyright Information Kluwer Academic Publishers 2004
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-1834-3
  • Online ISBN 978-94-007-0948-5
  • Series Print ISSN 1568-2609
  • About this book