Alternate Heegaard genus bounds distance
نویسندگان
چکیده
Suppose M is a compact orientable irreducible 3-manifold with Heegaard splitting surfaces P and Q. Then either Q is isotopic to a possibly stabilized copy of P or the distance d(P) ≤ 2genus(Q). More generally, if P and Q are bicompressible but weakly incompressible connected closed separating surfaces in M then either • P and Q can be well-separated or • P and Q are isotopic or
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