# at.algebraic topology – are there high-dimensional knots with non-trivial regular bundle? Answer

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## at.algebraic topology – are there high-dimensional knots with non-trivial regular bundle?

Does there live a flush embedding $$varphicolon S^kto S^n$$ such that $$varphi(S^ok)$$ has non-trivial regular bundle?
I checked out a few of the ancient papers by Kervaire, Haefliger, Massey, Levine however I could not discover an respond.
There are numerous associated outcomes, for instance it’s proven by Kervaire et al that in lots of dimensions the regular bundle is trifling. Furthermore Kervaire confirmed that there exists an immersion, such that the pullback of the regular bundle is non-trivial.

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