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Polynomial Functors and Homotopy Theory

Chapter
Part of the Progress in Mathematics book series (PM, volume 311)

Abstract

We develop methods for proving that certain extensions of polynomial functors do not split naturally. As an application we give a functorial description of the third and the fourth stable homotopy groups of the classifying spaces of free abelian groups.

Keywords

Derived functor homotopy group polynomial functor 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Chebyshev LaboratorySt. Petersburg State UniversitySaint PetersburgRussia
  2. 2.St. Petersburg Department of Steklov Mathematical InstituteSt. PetersburgRussia

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