Splitting criteria for homotopy functors of spectra
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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
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Additional Information
- Phichet Chaoha
- Affiliation: Department of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand
- Email: phichet.c@chula.ac.th
- Received by editor(s): August 6, 2001
- Published electronically: November 4, 2003
- © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 356 (2004), 1271-1280
- MSC (2000): Primary 55P65
- DOI: https://doi.org/10.1090/S0002-9947-03-03429-9
- MathSciNet review: 2034308
Dedicated: This paper is dedicated to the author’s beloved wife and daughter: Cherry and Cheese