Tame polyhedra in wild cells and spheres

Author:
R. B. Sher

Journal:
Proc. Amer. Math. Soc. **30** (1971), 169-174

MSC:
Primary 54.78

MathSciNet review:
0281178

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Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that each arc on a disk *D* in can be homeomorphically approximated by an arc in *D* which is tame in . Some applications of this are given. Also, we construct an everywhere wild -sphere in , each of whose arcs is tame in .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1971-0281178-1

Keywords:
Everywhere wild,
homeomorphically approximate,
disk squeezing,
cellularity

Article copyright:
© Copyright 1971
American Mathematical Society