Abstract
In the study of surfaces in 3-manifolds, the so-called cut- and-paste of surfaces is frequently used. In this paper, we generalize this method, in a sense, to singular-surfaces, and as an application, we prove that two collections of singular-disks in the 3-space R 3 which span the same trivial link are link-homotopic in the upper-half 4-space R3(O, 00) keeping the link fixed. Thx-oughaut the paper, we work in the piecewise linear category, consist- zng of simplicial complexes and piecewise linear maps.
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