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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Embedding phenomena based upon decomposition theory: an unusual cellular $ 2$-cell


Author: Robert J. Daverman
Journal: Proc. Amer. Math. Soc. 75 (1979), 183-185
MSC: Primary 57N60; Secondary 57N10, 57N15
MathSciNet review: 529238
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Abstract: We construct a 2-cell D cellularly embedded in the n-sphere $ {S^n},n \geqslant 5$, and locally flatly embedded at each of its interior points, but the boundary of which fails to be weakly flat.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0529238-9
PII: S 0002-9939(1979)0529238-9
Keywords: Weakly flat sphere, cellular cell, globally 1-alg, cellularity criterion, homology sphere, double suspension, mapping torus
Article copyright: © Copyright 1979 American Mathematical Society