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arXiv · 0802.0510

A guide to telescopic functors

Nicholas J. Kuhn
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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 each positive integer n. These have striking properties that relate the chromatic approach to homotopy theory to infinite loopspace theory: roughly put, the spectrum Phi_n(Z) captures the v_n periodic homotopy of a space Z. Recently there have been a variety of new uses of these functors, suggesting that they have a central role to play in calculations of periodic phenomena. Here I offer a guide to their construction, characterization, application, and computation.

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Nicholas J. Kuhn. 2008-02-04. A guide to telescopic functors. https://arxiv.org/abs/0802.0510

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