Rectangle condition for bridge decompositions of links

초록

In this paper, we define the rectangle condition for bridge decompositions of links in S-3 whose definition is analogous to the definition of the rectangle condition for Heegaard splittings of 3-manifolds. We show that the satisfaction of the rectangle condition for an n-bridge decomposition can guarantee that the Hempel distance of the n-bridge decomposition is greater than or equal to two.

키워드