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A topological disk in a 4-manifold can be approximated by piecewise linear disks

A topological disk in a 4-manifold can be approximated by piecewise linear disks

Several approximation theorems for embeddings of codimension 2 cells are announced here and the proofs are outlined.More detailed proofs will appear elsewhere [5].1. Introduction.Our main theorem asserts that any topological embedding of a disk (2-cell) in a piecewise linear 4-manifold can be approximated arbitrarily closely by locally flat, piecewise linear …