A -sphere of vetical order bounds a -cell

Author:
L. D. Loveland

Journal:
Proc. Amer. Math. Soc. **26** (1970), 674-678

MSC:
Primary 54.78

MathSciNet review:
0268871

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Abstract | References | Similar Articles | Additional Information

Abstract: A subset of is said to have vertical order if no vertical line contains more than points of . We prove that each -sphere in which has vertical order 5 bounds a -cell.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1970-0268871-0

Keywords:
Tame -spheres,
tame surfaces,
embeddings in ,
surfaces in ,
-taming sets,
vertical order

Article copyright:
© Copyright 1970
American Mathematical Society