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- W2072151450 abstract "The main theorem (2.1) says that if N is an abstract regular neighborhood of a polyhedron X with collapsible retraction r : N → X , dimX < dimN − 3, and if g : N → intN is an embedding such that rg is close to the inclusion map X ↪ N , then g is isotopic to the inclusion X ↪ N by an ambient isotopy which is limited by r . As a corollary two close PL embeddings of a polyhedron X into a PL manifold Q are equivalent by small PL ambient isotopy if dim X < dimQ − 3 and if the embeddings are sufficiently close to a given topological embedding of X into Q . Some related results using a slightly weaker dimension restriction are also discussed, and some other corollaries are presented." @default.
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- W2072151450 date "1975-06-01" @default.
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- W2072151450 title "The equivalence of close piecewise linear embeddings" @default.
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