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Abstract: In the mid 1980-s, Pete Bousfield and I constructed certain p-local`telescopic- functors Phi n from spaces to spectra, for each prime p and eachpositive integer n. These have striking properties that relate the chromaticapproach to homotopy theory to infinite loopspace theory: roughly put, thespectrum Phi nZ captures the v n periodic homotopy of a space Z.Recently there have been a variety of new uses of these functors, suggestingthat they have a central role to play in calculations of periodic phenomena.Here I offer a guide to their construction, characterization, application, andcomputation.

Author: Nicholas J. Kuhn

Source: https://arxiv.org/

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