Intrinsic linking and knotting of graphs in arbitrary 3-manifolds
classification
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intrinsicallyarbitrarygraphknottedlinkedonlyproveassuming
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We prove that a graph is intrinsically linked in an arbitrary 3-manifold M if and only if it is intrinsically linked in S^3. Also, assuming the Poincare Conjecture, we prove that a graph is intrinsically knotted in M if and only if it is intrinsically knotted in S^3.
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