On a point-segment decomposition of $E^{3}$ defined by McAuley
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- by Lawrence O. Cannon
- Proc. Amer. Math. Soc. 19 (1968), 624-630
- DOI: https://doi.org/10.1090/S0002-9939-1968-0225303-7
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References
- Steve Armentrout, Monotone decompositions of $E^{3}$, Topology Seminar (Wisconsin, 1965) Ann. of Math. Studies, No. 60, Princeton Univ. Press, Princeton, N.J., 1966, pp. 1–25. MR 0222865
- R. H. Bing, A homeomorphism between the $3$-sphere and the sum of two solid horned spheres, Ann. of Math. (2) 56 (1952), 354–362. MR 49549, DOI 10.2307/1969804 —, “Decompositions of ${E^3}$,” pp. 5-12, in Topology of $3$-manifolds and related topics, Prentice-Hall, Englewood Cliffs, N. J., 1961. —, Pointlike decompositions of ${E^3}$, Fund. Math. 50 (1962), 431-453.
- Lawrence O. Cannon, Sums of solid horned spheres, Trans. Amer. Math. Soc. 122 (1966), 203–228. MR 190912, DOI 10.1090/S0002-9947-1966-0190912-3
- B. G. Casler, On the sum of two solid Alexander horned spheres, Trans. Amer. Math. Soc. 116 (1965), 135–150. MR 185585, DOI 10.1090/S0002-9947-1965-0185585-9 L. F. McAuley, More point-like decompositions of ${E^3}$, Notices Amer. Math. Soc. 11 (1964), 460. —, “Another decomposition of ${E^3}$ into points and intervals,” pp. 33-51, in Topology seminar, Wisconsin, 1965, Ann. of Math. Studies, No. 60, 1966.
Bibliographic Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 624-630
- MSC: Primary 54.78
- DOI: https://doi.org/10.1090/S0002-9939-1968-0225303-7
- MathSciNet review: 0225303