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Mar 13, 2023 at 21:54 comment added mme Your $H_{G,-*}(X)$ is called "coBorel homology". (I posted this before with a typo.) For infinite $X$, where you cannot give a definition using duality, this should be understood as the homology of the fixed point spectrum.
Mar 13, 2023 at 20:53 history asked John Pardon CC BY-SA 4.0