First Author: Jacques Th\'evenaz e-mail: Jacques.Thevenaz@ima.unil.ch Address: Institut de Math\'ematiques, Universit\'e de Lausanne, CH--1015 Lausanne, Switzerland Second Author: Peter Webb email: webb@math.umn.edu Address: School of Mathematics, University of Minnesota, Minneapolis MN 55455 Title: A Mackey functor version of a conjecture of Alperin Abstract: Alperin's weight conjecture is shown to be equivalent to the existence of a pair of Mackey functors satisfying certain dimension and relative projectivity criteria. Journal: Astérisque181-182 (1990), 263-272.