I am computing equivariant homology, which is just the usual homology of the Borel construction. I have reached a few extension issues.
I have used the Gysin sequence, Leray-Serre spectral sequence, and the Universal Coefficient Theorem to go back and forth between homology and cohomology, to compute equivariant homology.
What other tools can I use that I can learn about to aid in my calculation, or to figure out the extensions?