Abstract
Let A be a based subspace of Y. Under the assumptions that Y is path-connected and that the reduced diagonal map of A induces the zero map in all mod 2 reduced homology groups, we compute a formula for the mod 2 reduced PoincarĂ© series of the loop space Ω((Aâ§RPâ)âȘAâ§RP1(Yâ§RP1)). Here RPâ and RP1 denote the infinite real projective space and the real projective line respectively.
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