ABSTRACT
Chapter 6 is roughly divided into three units of unequal length. We begin with a whirlwind tour through p-primary homotopy theory, to establish notation and to review basic facts. The second unit reviews Adams-Hilton models and examines a certain extension problem. This culminates in an existence/uniqueness theorem for modp* homotopy classes. Under suitable hypotheses, the theorem enables the construction of a canonical mod p* homotopy class using only information about homology and about modp*-1 homotopy. Since this theorem and its corollaries are the only tools in the entire monograph which construct new modp* homotopy classes, its importance cannot be overstated.
