The Geometry of Iterated Loop Spaces von J.P. May | ISBN 9783540059042

The Geometry of Iterated Loop Spaces

von J.P. May
Buchcover The Geometry of Iterated Loop Spaces | J.P. May | EAN 9783540059042 | ISBN 3-540-05904-0 | ISBN 978-3-540-05904-2

The Geometry of Iterated Loop Spaces

von J.P. May

Inhaltsverzeichnis

  • Operads and -spaces.
  • Operads and monads.
  • A? and E? operads.
  • The little cubes operads.
  • Iterated loop spaces and the.
  • The approximation theorem.
  • Cofibrations and quasi-fibrations.
  • The smash and composition products.
  • A categorical construction.
  • Monoidal categories.
  • Geometric realization of simplicial spaces.
  • Geometric realization and S*, C*, and ?*.
  • The recognition principle and A? spaces.
  • E? spaces and infinite loop sequences.
  • Remarks concerning the recognition principle.