... is an arc b of ∂4so that a push off γ of a ∪ b lies in Q, misses a and separates the boundarycomponents of Q into two sets of two, say one set is ∂1 and ∂2 and the otheris ∂3 and ∂4. ... III and S. T. Yau, The existence of embedded minimal surfaces and theproblem of uniqueness, Math. Z. 179 (1982), 151–168.[15]———, The topological uniqueness of complete minimal surfaces of ... ∂1,∂2,∂3,∂4be the boundary components of Q labeled so that ∂1 and ∂4belong to one pair of pants, ∂2 and ∂3belong to the other pair of pants, and both k1 and k2have an endpoint in ∂4. Let...