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E∞ algebras and p-adic homotopy theory

Department of Mathematics, Massachusetts Institute of Technology, Room 2-265, 77 Massachusetts Avenue, Cambridge, MA 02139, USA
Topology (Impact Factor: 0.23). 01/2001; DOI: 10.1016/S0040-9383(99)00053-1

ABSTRACT Let denote the field with p elements and its algebraic closure. We show that the singular cochain functor with coefficients in induces a contravariant equivalence between the homotopy category of connected p-complete nilpotent spaces of finite p-type and a full subcategory of the homotopy category of -algebras.

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