Let $ E, X$ be path-connected and suppose I have a fibration $ p\colon E\to X$ which admits a section $ s$ . For a generalised homology theory $ \mathcal{E}_\ast$ , there is a splitting $ \mathcal{E}_\ast (E)\cong \mathcal{E}_\ast(X)\oplus R_\ast$ induced by $ p$ and $ s$ . Choosing a basepoint $ x\colon \ast \toRead more