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R-local homotopy theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 1418)

Abstract

Over a subring R of Q, we show that a certain differential graded Lie R-algebra model is a complete R-local homotopy invariant, for CW complexes satisfying some dimension and connectivity hypotheses. When R=Q, we obtain a new proof of the equivalence between the homotopy category of simply-connected rational spaces and the homotopy category of connected differential graded Lie Q-algebras.

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References

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© 1990 Springer-Verlag Berlin Heidelberg

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Anick, D.J. (1990). R-local homotopy theory. In: Mimura, M. (eds) Homotopy Theory and Related Topics. Lecture Notes in Mathematics, vol 1418. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083694

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  • DOI: https://doi.org/10.1007/BFb0083694

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52246-1

  • Online ISBN: 978-3-540-46938-4

  • eBook Packages: Springer Book Archive