Abstract

Let F be the homotopy Þber of a continuous map f : X@ >>> Y , and let R be a commutative, unitary ring. Given a morphism of chain Hopf algebras that models (Sf)] : CE(SX;R)@ >>> CE(SY ;R), we construct a cochain algebra that models C E (F;R). We explain how to simplify the model for certain large classes of maps f and provide examples of the application of our model. To Jan–Erik Roos on his sixty–Þfth birthday

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