A class of decompositions of which are factors of
Author:
John L. Bailey
Journal:
Trans. Amer. Math. Soc. 148 (1970), 561-575
MSC:
Primary 54.78
DOI:
https://doi.org/10.1090/S0002-9947-1970-0264637-0
MathSciNet review:
0264637
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References | Similar Articles | Additional Information
- [1] Steve Armentrout and R. H. Bing, A toroidal decomposition of 𝐸³, Fund. Math. 60 (1967), 81–87. MR 206925, https://doi.org/10.4064/fm-60-1-81-87
- [2]
John L. Bailey, A class of decompositions of
which are factors of
, Doctoral Dissertation, Univ. of Tennessee, Knoxville, 1968.
- [3] R. H. Bing, A decomposition of 𝐸³ into points and tame arcs such that the decomposition space is topologically different from 𝐸³, Ann. of Math. (2) 65 (1957), 484–500. MR 92961, https://doi.org/10.2307/1970058
- [4] R. H. Bing, The cartesian product of a certain nonmanifold and a line is 𝐸⁴, Ann. of Math. (2) 70 (1959), 399–412. MR 107228, https://doi.org/10.2307/1970322
- [5] Topology Seminar, Wisconsin, 1965, Edited by R. H. Bing and R. J. Bean. Annals of Mathematics Studies, No. 60, Princeton University Press, Princeton, N.J., 1966. MR 0202100
- [6] Topology of 3-manifolds and related topics, Proceedings of The University of Georgia Institute, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1961. MR 0141085
- [7] V. L. Klee Jr., Some topological properties of convex sets, Trans. Amer. Math. Soc. 78 (1955), 30–45. MR 69388, https://doi.org/10.1090/S0002-9947-1955-0069388-5
- [8] Ronald H. Rosen, 𝐸⁴ is the cartesian product of a totally non-euclidean space and 𝐸¹, Ann. of Math. (2) 73 (1961), 349–361. MR 124888, https://doi.org/10.2307/1970337
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1970-0264637-0
Article copyright:
© Copyright 1970
American Mathematical Society