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2008 A guide to telescopic functors
Nicholas J. Kuhn
Homology Homotopy Appl. 10(3): 291-319 (2008).

Abstract

In the mid 1980s, Pete Bousfield and I constructed certain $p$-local `telescopic' functors $Φ_n$ from spaces to spectra, for each prime $p$, and each $n ≥ 1$. They are constructed using the full strength of the Nilpotence and Periodicity Theorems of Devanitz-Hopkins-Smith, and have some striking properties that relate the chromatic approach to homotopy theory to infinite loopspace theory.

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.

Citation

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Nicholas J. Kuhn. "A guide to telescopic functors." Homology Homotopy Appl. 10 (3) 291 - 319, 2008.

Information

Published: 2008
First available in Project Euclid: 1 September 2009

zbMATH: 1169.55007
MathSciNet: MR2475626

Subjects:
Primary: 55Q51
Secondary: 55N20 , 55P60 , 55P65

Keywords: periodic homotopy , stable homotopy , Telescopic functors , unstable homotopy

Rights: Copyright © 2008 International Press of Boston

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Vol.10 • No. 3 • 2008
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