Geodesic
A guide to telescopic functors
Homology, homotopy, and applications, Tome 10 (2008) no. 3, pp. 291-319.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2008.v10.n3.a13
Classification : 55Q51, 55N20, 55P60, 55P65
Keywords: telescopic functors, periodic homotopy, unstable homotopy, stable homotopy 
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Nicholas J. Kuhn. A guide to telescopic functors. Homology, homotopy, and applications, Tome 10 (2008) no. 3, pp. 291-319. doi : 10.4310/HHA.2008.v10.n3.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n3.a13/

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