The top cohomology class of certain spaces. (English) Zbl 0766.55007

Murillo, Aniceto

J. Pure Appl. Algebra 84, No. 2, 209-214 (1993).

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 \((\partial f_ i/\partial x_ j)\).

Reviewer: Y.Felix (Louvain-La-Neuve)

MSC:

55P62

Rational homotopy theory

Keywords:

rational homotopy; elliptic spaces; homogeneous spaces; Sullivan minimal model

References:

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