2 problems

Let ${\mathbf S}\colon\operatorname{SPACES}\to\operatorname{SPECTRA}$ respect weak equivalences and disjoint unions. Let $G$ be a group and ${\mathcal F}$ a family of subgroups of…

Let $\Gamma$ be a group, let $(G,\psi)$ be a group over $\Gamma$ with homomorphism $\psi\colon G\to\Gamma$, let ${\mathcal H}^?_*$ be an equivariant homology theory over $\Gamma$,…