Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 55A20, 57C35

Retrieve articles in all journals with MSC: 55A20, 57C35


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1978-0478130-0
PII: S 0002-9947(1978)0478130-0
Keywords: Imbedding, imbedding class, minimal complex, low-dimensional complex
Article copyright: © Copyright 1978 American Mathematical Society