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Alternative proof of the ribbonness on classical link

Akio Kawauchi

Abstract

Alternative proof is given for an earlier presented result that if a link in 3-space bounds a compact oriented proper surface (without closed component) in the upper half 4-space, then the link bounds a ribbon surface in the upper half 4-space which is a boundary-relative renewal embedding of the original surface.

Alternative proof of the ribbonness on classical link

Abstract

Alternative proof is given for an earlier presented result that if a link in 3-space bounds a compact oriented proper surface (without closed component) in the upper half 4-space, then the link bounds a ribbon surface in the upper half 4-space which is a boundary-relative renewal embedding of the original surface.
Paper Structure (4 equations, 2 figures)

This paper contains 4 equations, 2 figures.

Figures (2)

  • Figure 1: Changing the intersection of a based disk and an extra disk
  • Figure 2: Band Move Operation