A theorem on one-to-one mappings onto the plane
Author:
R. F. Dickman
Journal:
Proc. Amer. Math. Soc. 21 (1969), 119-120
MSC:
Primary 54.60
DOI:
https://doi.org/10.1090/S0002-9939-1969-0248766-0
MathSciNet review:
0248766
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References | Similar Articles | Additional Information
- R. F. Dickman Jr., Compactness of mappings on products of locally connected generalized continua, Proc. Amer. Math. Soc. 18 (1967), 1093β1094. MR 217764, DOI https://doi.org/10.1090/S0002-9939-1967-0217764-3
- Edwin Duda, A theorem on one-to-one mappings, Pacific J. Math. 19 (1966), 253β257. MR 203696
- L. C. Glaser, Dimension lowering monotone non-compact mappings of $E^{n}$, Fund. Math. 58 (1966), 177β181. MR 193625, DOI https://doi.org/10.4064/fm-58-2-177-181
- Leslie C. Glaser, $1-1$ continuous mappings onto $E^{n}$, Amer. J. Math. 88 (1966), 237β243. MR 195075, DOI https://doi.org/10.2307/2373058 D. H. Pettey, One-to-one continuous mappings into $E^2$, Notices Amer. Math. Soc. 15 (1968), 165.
- Kenneth Whyburn, A nontopological $1-1$ mapping onto $E^{3}$, Bull. Amer. Math. Soc. 71 (1965), 533β537. MR 175092, DOI https://doi.org/10.1090/S0002-9904-1965-11319-2
- Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, Vol. 28, American Mathematical Society, New York, 1942. MR 0007095
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Article copyright:
© Copyright 1969
American Mathematical Society
