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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


The product of nonplanar complexes does not imbed in $ 4$-space

Author: Brian R. Ummel
Journal: Trans. Amer. Math. Soc. 242 (1978), 319-328
MSC: Primary 55A20; Secondary 57C35
MathSciNet review: 0478130
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Abstract: We prove that if $ {K_1}$ and $ {K_2}$ are nonplanar simplicial complexes, then $ {K_1}\, \times\, {K_2}$ does not imbed in $ {{\textbf{R}}^4}$.

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PII: S 0002-9947(1978)0478130-0
Keywords: Imbedding, imbedding class, minimal complex, low-dimensional complex
Article copyright: © Copyright 1978 American Mathematical Society

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