Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 /

Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander.

This book presents a coherent account of the current status of etale homotopy theory, a topological theory introduced into abstract algebraic geometry by M. Artin and B. Mazur. Eric M. Friedlander presents many of his own applications of this theory to algebraic topology, finite Chevalley groups, an...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Friedlander, Eric M.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1983
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 104
Online Access:
Physical Description:1 online resource (191 p.)
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Table of Contents:
  • Frontmatter
  • INTRODUCTION
  • 1. ETALE SITE OF A SIMPLICIAL SCHEME
  • 2. SHEAVES AND COHOMOLOGY
  • 3. COHOMOLOGY VIA HYPERCOVERINGS
  • 4. ETALE TOPOLOGICAL TYPE
  • 5. HOMOTOPY INVARIANTS
  • 6. WEAK EQUIVALENCES, COMPLETIONS, AND HOMOTOPY LIMITS
  • 7. FINITENESS AND HOMOLOGY
  • 8. COMPARISON OF HOMOTOPY TYPES
  • 9. APPLICATIONS TO TOPOLOGY
  • 10. COMPARISON OF GEOMETRIC AND HOMOTOPY THEORETIC FIBRES
  • 11. APPLICATIONS TO GEOMETRY
  • 12. APPLICATIONS TO FINITE CHE VALLEY GROUPS
  • 13. FUNCTION COMPLEXES
  • 14. RELATIVE COHOMOLOGY
  • 15. TUBULAR NEIGHBORHOODS
  • 16. GENERALIZED COHOMOLOGY
  • 17. POINCARÉ DUALITY AND LOCALLY COMPACT HOMOLOGY
  • REFERENCES
  • INDEX
  • Backmatter

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