Sufficient conditions that a mapping be open
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- by Charles J. Titus PDF
- Proc. Amer. Math. Soc. 10 (1959), 970-973 Request permission
References
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P. Alexandroff and H. Hopf, Topologie I, Berlin, 1938.
- Arthur Sard, The measure of the critical values of differentiable maps, Bull. Amer. Math. Soc. 48 (1942), 883–890. MR 7523, DOI 10.1090/S0002-9904-1942-07811-6
- C. J. Titus and G. S. Young, A Jacobian condition for interiority, Michigan Math. J. 1 (1952), 89–94. MR 49548
- Gordon Thomas Whyburn, Topological analysis, Princeton Mathematical Series, No. 23, Princeton University Press, Princeton, N. J., 1958. MR 0099642
- G. T. Whyburn, Quasi-open mappings, Rev. Math. Pures Appl. 2 (1957), 47–52. MR 94788 G. S. Young, Extension of Liouville’s theorem to $n$-dimensions, Math. Scand. vol. 6 (1958).
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 970-973
- MSC: Primary 54.00; Secondary 53.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0110088-X
- MathSciNet review: 0110088