Rational topological complexity

Abstract

We give a new upper bound for Farber's topological complexity for rational spaces in terms of Sullivan models.We use it to determine the topological complexity in some new cases, and to prove a Ganea-type formula in these and other cases. 55M30, 55P62This is the sectional category (refer to Cornea, Lupton, Oprea and Tanr [1] and Schwarz [17]) of the path fibration.(Note that our definition differs from that of [2] by