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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© 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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