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Homotopy theory, homological algebra, algebraic treatments of manifolds.
2
votes
Homeomorphism type of tangent bundles
I am not sure if this is exactly what you are asking for, but this: https://math.stackexchange.com/a/477495/195021 answer and this: Examples of non-diffeomorphic smooth manifolds with diffeomorphic ta …
3
votes
Hopf algebra kernels vs. algebra kernels
-too long for a comment-
I am a little confused about the way terminology is used in the OP.
Maybe i'm missing the point; in case i do not, the closest result i know of -quite general and does not ref …