Transactions of the American Mathematical Society

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ISSN 1088-6850(e) ISSN 0002-9947(p)

Splitting criteria for homotopy functors of spectra

Author(s): Phichet Chaoha
Journal: Trans. Amer. Math. Soc. 356 (2004), 1271-1280.
MSC (2000): Primary 55P65
Posted: November 4, 2003
MathSciNet review: 2034308
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Abstract | References | Similar articles | Additional information

Abstract: We explore the interaction between the Taylor tower and cotower, as defined in deriving calculus with cotriples and dual calculus for functors to spectra of functors of spectra. This leads to new splitting criteria which generalize the results in dual calculus for functors to spectra.

References:

1.: P. Chaoha, Obstructions to constructing the Taylor tower of finite degree functors of spectra, Ph.D. thesis, UIUC, May 2001.
2.: T. Goodwillie, Calculus I: The first derivative of pseudoisotopy theory, K-Theory 4 (1990), 1-27. MR 92m:57027
3.: T. Goodwillie, Calculus II: Analytic functors, K-Theory 5 (1992), 295-332. MR 93i:55015
4.: T. Goodwillie, Calculus III: Taylor series of a homotopy functor, in preparation.
5.: B. Johnson and R. McCarthy, Deriving calculus with cotriples, Trans. Amer. Math. Soc. 356 (2004), 757-803.
6.: R. McCarthy, Dual calculus for functors to spectra, Homotopy methods in algebraic topology (Boulder, CO, 1999), Contemp. Math., 271, Amer. Math. Soc., Providence, RI, 2001, pp. 183-215. MR 2002c:18009

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