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MR1690995 (2001b:57006) 57M20 (55S30 57N13 57N40 57Q35)
Krushkal, Vyacheslav S. Embedding obstructions and $4$-dimensional thickenings of $2$-complexes. Proc. Amer. Math. Soc. 128 (2000), no. 12, 3683–3691.
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