Randomized trial demonstrates definable isotopy between submanifolds in manifolds, suggesting new geometric insights.
Let X be a definable C r manifold, Y 1 , Y 2 definably compact definable C r submanifolds of X such that dim Y 1 + dim Y 2 < dim X and Y 1 has a trivial normal bundle.We prove that there exists a definable isotopy {h p } p∈J such that h 0 = id X and h 1 (Y 1 ) ∩ Y 2 = ∅.
No takes yet. Share an insight, caveat, or question.
Tomohiro KAWAKAMI (2016) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: