A fundamental theorem on decompositions of the sphere into points and tame arcs
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- by Kyung Whan Kwun PDF
- Proc. Amer. Math. Soc. 12 (1961), 47-50 Request permission
References
- R. H. Bing, A decomposition of $E^3$ into points and tame arcs such that the decomposition space is topologically different from $E^3$, Ann. of Math. (2) 65 (1957), 484β500. MR 92961, DOI 10.2307/1970058
- M. L. Curtis and R. L. Wilder, The existence of certain types of manifolds, Trans. Amer. Math. Soc. 91 (1959), 152β160. MR 102817, DOI 10.1090/S0002-9947-1959-0102817-0
- H. B. Griffiths, A contribution to the theory of manifolds, Michigan Math. J. 2 (1954), 61β89. MR 63669 R. Roxen, ${E^4}$ is the Cartesian product of a totally non-euclidean space and ${E^1}$, Notices Amer. Math. Soc., Abstr. 563-1, vol. 6 (1959) p. 641.
- Stephen Smale, A Vietoris mapping theorem for homotopy, Proc. Amer. Math. Soc. 8 (1957), 604β610. MR 87106, DOI 10.1090/S0002-9939-1957-0087106-9
- R. L. Wilder, Monotone mappings of manifolds, Pacific J. Math. 7 (1957), 1519β1528. MR 92966
- R. L. Wilder, Monotone mappings of manifolds. II, Michigan Math. J. 5 (1958), 19β23. MR 97798
Additional Information
- © Copyright 1961 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 12 (1961), 47-50
- MSC: Primary 54.00
- DOI: https://doi.org/10.1090/S0002-9939-1961-0120610-4
- MathSciNet review: 0120610