×

An algorithm of finding planar surfaces in three-manifolds. (English) Zbl 1150.57304

From the introduction: The paper is devoted to the question: does there exist an algorithm to decide whether or not a given 3-manifold contains a proper essential planar surface? In 1998, W. Jaco, H. Rubinstein, and E. Sedgwick described an algorithm to decide whether or not a given link-manifold contains a proper essential planar surface (a link-manifold is a compact orientable 3-manifold whose boundary consists of tori). We generalize this result to manifolds with arbitrary boundaries.

MSC:

57M25 Knots and links in the \(3\)-sphere (MSC2010)
57N10 Topology of general \(3\)-manifolds (MSC2010)
PDFBibTeX XMLCite
Full Text: EuDML