The DGL M[sup(k)]

Building upon the previous chapter, we analyze here another dgL, to be denoted (M*,d), whose enveloping algebra will turn out to have the same qua-si-isomorphism type as the Adams-Hilton model for the space Dk·

Again, it will be convenient to have the various algebraic properties already at our disposal when the time comes to correlate them with the topology. We focus in this section on (UMk,d ) as a dgH, postponing until Chapter 4 the explicit computation of its BSS.