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

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

MathSciNet review:
0208583

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References | Similar Articles | Additional Information

**[1]**R. H. Bing,*Locally tame sets are tame*, Ann. of Math.**59**(1954), 145-158. MR**0061377 (15:816d)****[2]**-,*A surface is tame if its complement is*1-ULC, Trans. Amer. Math. Soc.**101**(1961), 294-305. MR**0131265 (24:A1117)****[3]**-,*Each disk in**contains a tame arc*, Amer. J. Math.**84**(1962), 583-590. MR**0146811 (26:4331)****[4]**-,*Each disk in**is pierced by a tame arc*, Amer. J. Math.**84**(1962), 591-599. MR**0146812 (26:4332)****[5]**-,*Approximating surfaces from the side*, Ann. of Math.**77**(1963), 145-192. MR**0150744 (27:731)****[6]**-,*Pushing a*2-*sphere into its complement*, Michigan Math. J.**11**(1964), 33-45. MR**0160194 (28:3408)****[7]**-,*Improving the side approximation theorem*, Trans. Amer. Math. Soc.**116**(1965), 511-525. MR**0192479 (33:704)****[8]**-,*Improving the intersections of lines and surfaces*, (to appear)**[9]**P. H. Doyle,*Unions of cell pairs in*, Pacific J. Math.**10**(1960), 521-524. MR**0126837 (23:A4131)****[10]**P. H. Doyle and J. G. Hocking,*Some results on tame disks and spheres in*, Proc. Amer. Math. Soc.**11**(1960), 832-836. MR**0126839 (23:A4133)****[11]**Joseph Martin,*Tame arcs on disks*, Proc. Amer. Math. Soc.**16**(1965), 131-133. MR**0175103 (30:5288)****[12]**D. R. McMillan, Jr.,*A criterion for cellularity in a manifold*, Ann. of Math.**79**(1964), 327-337. MR**0161320 (28:4528)****[13]**E. E. Moise,*Affine structures in*3-*manifolds*. V.*The triangulation theorem and Hauptvermutung*, Ann. of Math.**56**(1952), 96-114. MR**0048805 (14:72d)****[14]**-,*Affine structures in*3-*manifolds*. VII.*Disks which are pierced by intervals*, Ann. of Math.**58**(1953), 403-408. MR**0058208 (15:337b)****[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