I need to learn some concepts about Homology and Cohomology theory to apply in riemannian geometry basically, but really I have not time to read about that.
I know just two books of W. S. Massey, Algebraic Topology: An introduction and A basic course of Algebraic Topology, about this (they're big references here), but I don't know what's the difference between them. Is there really much difference for a quick reading? What's the better?
I would like to know if someone has a quick book or lectures notes about Homology and Cohomology theory to help me.
Thanks so much.