Computing the Homology of Cell Complexes
David George Kendall, D. Barden, T. K. Carne, H. Le · Wiley series in probability and statistics · 2008
The prelims comprise: The orientation of certain spaces The orientation of spherical cells The boundary of an oriented cell The chain complex, homology and cohomology groups Reduced homology The homology exact sequence for shape spaces Applications of the exact sequence Topological invariants that distinguish between shape spaces