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.
Mathematics Subject Classification (2010). 18E25, 55P65.
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© 2015 Springer International Publishing Switzerland
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Mikhailov, R. (2015). Polynomial Functors and Homotopy Theory. In: Franjou, V., Touzé, A. (eds) Lectures on Functor Homology. Progress in Mathematics, vol 311. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-21305-7_4
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DOI: https://doi.org/10.1007/978-3-319-21305-7_4
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-21304-0
Online ISBN: 978-3-319-21305-7
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