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A chain rule for Goodwillie derivatives of functors from spectra to spectra
Author(s):
Michael
Ching
Journal:
Trans. Amer. Math. Soc.
362
(2010),
399-426.
MSC (2000):
Primary 55P42, 55P65
Posted:
July 2, 2009
MathSciNet review:
2550157
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Abstract:
We prove a chain rule for the Goodwillie calculus of functors from spectra to spectra. We show that the (higher) derivatives of a composite functor  at a base object  are given by taking the composition product (in the sense of symmetric sequences) of the derivatives of  at  with the derivatives of  at  . We also consider the question of finding  , and give an explicit formula for this when  is homogeneous.
References:
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Additional Information:
Michael
Ching
Affiliation:
Department of Mathematics, University of Georgia, Athens, Georgia 30602
DOI:
10.1090/S0002-9947-09-04834-X
PII:
S 0002-9947(09)04834-X
Received by editor(s):
March 24, 2008
Posted:
July 2, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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