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Properly homotopic nontrivial planes are isotopic

Bobby Winters — 1995

Fundamenta Mathematicae

It is proved that two planes that are properly homotopic in a noncompact, orientable, irreducible 3-manifold that is not homeomorphic to 3 are isotopic. The end-reduction techniques of E. M. Brown and C. D. Feustal and M. G. Brin and T. L. Thickstun are used.

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