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Homotopy theory, homological algebra, algebraic treatments of manifolds.

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H^4(SO(3)xU(1),U(1)) with Borel cohomology

I want to know what the above is. I would also like to know what H^5(B[SO(3)xU(1)],U(1)) is, where B[SO(3)xU(1)] is the classifying space of SO(3)xU(1). I don't know how to do the calculation myself