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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

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3 manifolds with diffeomorphic unit tangent bundles

What can one say about two closed oriented 3-manifolds $M_1$ and $M_2$ such that $S^2 \times M_1$ is diffeomorphic to $S^2 \times M_2$?
Murat Saglam's user avatar