Proceedings of the American Mathematical Society

Author(s): Vyacheslav S. Krushkal
Journal: Proc. Amer. Math. Soc. 128 (2000), 3683-3691.
MSC (1991): Primary 57M20, 57Q35, 55S30, 57M25
Posted: May 18, 2000
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The vanishing of Van Kampen's obstruction is known to be necessary and sufficient for embeddability of a simplicial

-complex into ${\mathbb{R}}^{2n}$ for $n\neq 2$ , 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

-complexes in ${\mathbb{R}}^4$ .

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