The top cohomology class of certain spaces (Q1208229)

The author considers finite 1-connected \(CW\) complexes \(M\) admitting a Sullivan minimal model of the form: \((\Lambda(x_ 1,\dots,x_ n)\otimes\Lambda(y_ 1,\dots,y_ m),d)\) with \(| x_ i|\) even, \(| y_ i|\) odd, \(d(x_ i)=0\) and \(d(y_ i)=f_ i(x_ 1,\dots,x_ n)\). He then gives a formula for a cocycle representing the top class in terms of the matrix \((\partial f_ i/\partial x_ j)\).