A criterion for cellularity in a manifold. II

Author:
D. R. McMillan

Journal:
Trans. Amer. Math. Soc. **126** (1967), 217-224

MSC:
Primary 54.78

MathSciNet review:
0208583

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References | Similar Articles | Additional Information

**[1]**R. H. Bing,*Locally tame sets are tame*, Ann. of Math. (2)**59**(1954), 145–158. MR**0061377****[2]**R. H. Bing,*A surface is tame if its complement is 1-ULC*, Trans. Amer. Math. Soc.**101**(1961), 294–305. MR**0131265**, 10.1090/S0002-9947-1961-0131265-1**[3]**R. H. Bing,*Each disk in 𝐸³ contains a tame arc*, Amer. J. Math.**84**(1962), 583–590. MR**0146811****[4]**R. H. Bing,*Each disk in 𝐸³ is pierced by a tame arc*, Amer. J. Math.**84**(1962), 591–599. MR**0146812****[5]**R. H. Bing,*Approximating surfaces from the side*, Ann. of Math. (2)**77**(1963), 145–192. MR**0150744****[6]**R. H. Bing,*Pushing a 2-sphere into its complement*, Michigan Math. J.**11**(1964), 33–45. MR**0160194****[7]**R. H. Bing,*Improving the side approximation theorem*, Trans. Amer. Math. Soc.**116**(1965), 511–525. MR**0192479**, 10.1090/S0002-9947-1965-0192479-1**[8]**-,*Improving the intersections of lines and surfaces*, (to appear)**[9]**P. H. Doyle,*Unions of cell pairs in 𝐸³*, Pacific J. Math.**10**(1960), 521–524. MR**0126837****[10]**P. H. Doyle and J. G. Hocking,*Some results on tame disks and spheres in 𝐸³*, Proc. Amer. Math. Soc.**11**(1960), 832–836. MR**0126839**, 10.1090/S0002-9939-1960-0126839-2**[11]**Joseph Martin,*Tame arcs on disks*, Proc. Amer. Math. Soc.**16**(1965), 131–133. MR**0175103**, 10.1090/S0002-9939-1965-0175103-9**[12]**D. R. McMillan Jr.,*A criterion for cellularity in a manifold*, Ann. of Math. (2)**79**(1964), 327–337. MR**0161320****[13]**Edwin E. Moise,*Affine structures in 3-manifolds. V. The triangulation theorem and Hauptvermutung*, Ann. of Math. (2)**56**(1952), 96–114. MR**0048805****[14]**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****[15]**J. H. C. Whitehead,*Simplicial spaces, nuclei, and m-groups*, Proc. London Math. Soc.**45**(1939), 243-327.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1967-0208583-7

Article copyright:
© Copyright 1967
American Mathematical Society