The plain sphere number of a link equals its bridge number, shown by comparing minimal-generator meridional presentations witnessed by simultaneous embedded spheres to known bridge presentations.
The bridge number of arborescent links with many twigs.Algebraic & Geometric Topology, 23(1):75–85
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The Plain Sphere Number of a Link
The plain sphere number of a link equals its bridge number, shown by comparing minimal-generator meridional presentations witnessed by simultaneous embedded spheres to known bridge presentations.