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I have added some bare minimum content to EHP spectral sequence.
Please forgive my ignorance. What’s the map P?
Todd, it’s just the homotopy fiber of the map E, 2-locally. James’ result is the construcion of the map H and the proof that E, in turn, is the homotopy fiber of H, 2-locally. Hence you may think of P as being the connecting homomorphism induced by the James fibration.
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