Some results on tame disks and spheres in

Authors:
P. H. Doyle and J. G. Hocking

Journal:
Proc. Amer. Math. Soc. **11** (1960), 832-836

MSC:
Primary 54.78

MathSciNet review:
0126839

Full-text PDF Free Access

References | Similar Articles | Additional Information

**[1]**Ralph H. Fox and Emil Artin,*Some wild cells and spheres in three-dimensional space*, Ann. of Math. (2)**49**(1948), 979–990. MR**0027512****[2]**R. H. Bing,*Locally tame sets are tame*, Ann. of Math. (2)**59**(1954), 145–158. MR**0061377****[3]**R. H. Bing,*Approximating surfaces with polyhedral ones*, Ann. of Math. (2)**65**(1957), 465–483. MR**0087090****[4]**P. H. Doyle,*Tame triods in 3-space*, Proc. Amer. Math. Soc.**10**(1959), 656–658 (German). MR**0111002**, 10.1090/S0002-9939-1959-0111002-3**[5]**-,*Unions of cell pairs in*, Pacific J. Math. (to appear).**[6]**P. H. Doyle and J. G. Hocking,*A note on piercing a disk*, Proc. Amer. Math. Soc.**10**(1959), 633–636. MR**0126838**, 10.1090/S0002-9939-1959-0126838-2**[7]**O. G. Harrold Jr., H. C. Griffith, and E. E. Posey,*A characterization of tame curves in three-space*, Trans. Amer. Math. Soc.**79**(1955), 12–34. MR**0091457**, 10.1090/S0002-9947-1955-0091457-4**[8]**O. G. Harrold Jr. and E. E. Moise,*Almost locally polyhedral spheres*, Ann. of Math. (2)**57**(1953), 575–578. MR**0053504****[9]**O. G. Harrold,*Locally peripherally unknotted surfaces in*, Ann. of Math. vol. 59 (1959) pp. 276-290.**[10]**Edwin E. Moise,*Affine structures in 3-manifolds. V. The triangulation theorem and Hauptvermutung*, Ann. of Math. (2)**56**(1952), 96–114. MR**0048805****[11]**Edwin E. Moise,*Affine structures in 3-manifolds. VII. Disks which are pierced by intervals*, Ann. of Math. (2)**58**(1953), 403–408. MR**0058208****[12]**Edwin E. Moise,*Affine structures in 3-manifolds. VIII. Invariance of the knot-types; local tame imbedding*, Ann. of Math. (2)**59**(1954), 159–170. MR**0061822****[13]**E. E. Posey,*Almost polyhedral cells in euclidean space*, Thesis, University of Tennessee, 1954.

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
54.78

Retrieve articles in all journals with MSC: 54.78

Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1960-0126839-2

Article copyright:
© Copyright 1960
American Mathematical Society