Datensatz

Zusammenfassung

Generalizing the ideas of Zk–manifolds from Sullivan and stratifolds from Kreck, we define Zk–stratifolds. We show that the bordism theory of Zk–stratifolds is sufficient to represent all homology classes of a CW–complex with coefficients in Zk. We present a geometric interpretation of the Bockstein long exact sequences and the Atiyah–Hirzebruch spectral sequence for Zk–bordism for k an odd number. Finally, for p an odd prime, we give geometric representatives of all classes in H∗(BZp;Zp) using Zp–stratifolds.