332 research outputs found
Embedding obstructions and 4-dimensional thickenings of 2-complexes
The vanishing of Van Kampen's obstruction is known to be necessary and
sufficient for embeddability of a simplicial n-complex into for , and it was recently shown to be incomplete for . We use
algebraic-topological invariants of four-manifolds with boundary to introduce a
sequence of higher embedding obstructions for a class of 2-complexes in .Comment: 10 pages; To appear in Proc. Amer. Math. So
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