Piercing a disk along a cellular set

Piercing a disk along a cellular set
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Proc. Amer. Math. Soc. 19 (1968), 153-157

DOI: https://doi.org/10.1090/S0002-9939-1968-0220266-2

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References

R. H. Bing, Some monotone decompositions of a cube, Ann. of Math. (2) 61 (1955), 279–288. MR 68207, DOI 10.2307/1969916
R. H. Bing, Approximating surfaces with polyhedral ones, Ann. of Math. (2) 65 (1957), 465–483. MR 87090
R. H. Bing, A surface is tame if its complement is $1$-ULC, Trans. Amer. Math. Soc. 101 (1961), 294–305. MR 131265, DOI 10.1090/S0002-9947-1961-0131265-1
Marston Morse, A reduction of the Schoenflies extension problem, Bull. Amer. Math. Soc. 66 (1960), 113–115. MR 117694, DOI 10.1090/S0002-9904-1960-10420-X
P. H. Doyle and J. G. Hocking, Some results on tame disks and spheres in $E^{3}$, Proc. Amer. Math. Soc. 11 (1960), 832–836. MR 126839, DOI 10.1090/S0002-9939-1960-0126839-2
David S. Gillman, Side approximation, missing an arc, Amer. J. Math. 85 (1963), 459–476. MR 160193, DOI 10.2307/2373136
J. P. Hempel and D. R. McMillan Jr., Locally nice embeddings of manifolds, Amer. J. Math. 88 (1966), 1–19. MR 205257, DOI 10.2307/2373043

The sum of a real cube and a crumpled cube is

10

Lloyd L. Lininger, Some results on crumpled cubes, Trans. Amer. Math. Soc. 118 (1965), 534–549. MR 178460, DOI 10.1090/S0002-9947-1965-0178460-7
Joseph Martin, Tame arcs on disks, Proc. Amer. Math. Soc. 16 (1965), 131–133. MR 175103, DOI 10.1090/S0002-9939-1965-0175103-9
Joseph Martin, The sum of two crumpled cubes, Michigan Math. J. 13 (1966), 147–151. MR 190914
D. R. McMillan Jr., A criterion for cellularity in a manifold, Ann. of Math. (2) 79 (1964), 327–337. MR 161320, DOI 10.2307/1970548
D. R. McMillan Jr., Some topological properties of piercing points, Pacific J. Math. 22 (1967), 313–322. MR 216486

Simplicial spaces, nuclei and

groups

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