Localization and periodicity in unstable homotopy theory

  title={Localization and periodicity in unstable homotopy theory},
  author={Aldridge Knight Bousfield},
  journal={Journal of the American Mathematical Society},
  • A. K. Bousfield
  • Published 1994
  • Mathematics
  • Journal of the American Mathematical Society
In this paper, we develop a hierarchy of natural localizations of spaces, called the vn-periodizations for n > 0, which may be used to expose and study periodic phenomena in unstable homotopy theory. These vn-periodizations act less radically than the corresponding homological localizations [2] and respect fibrations to a very considerable extent. A major part of this paper is devoted to developing the general theory of periodizations of spaces, thereby providing a foundation for the study of… Expand
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