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Free keywords:
Mathematics, Algebraic Topology
Abstract:
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.
