I believe the forgetful functor $F: \mathbf{TopGrp} \to \mathbf{Top}$ has a left adjoint. Does it also have a right adjoint? Does the forgetful functor $G: \mathbf{TopRing} \to \mathbf{Top}$ have a right adjoint? A reference would be very much appreciated.
2026-03-25 14:33:18.1774449198
Right adjoints to forgetful functors from TopRing and TopGrp to Top
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