Whyburn’s conjecture for $C^{2}$ maps
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- by Morris L. Marx
- Proc. Amer. Math. Soc. 19 (1968), 660-661
- DOI: https://doi.org/10.1090/S0002-9939-1968-0226604-9
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References
- P. T. Church, Differentiable open maps on manifolds, Trans. Amer. Math. Soc. 109 (1963), 87–100. MR 154296, DOI 10.1090/S0002-9947-1963-0154296-6
- Jane Cronin and L. F. McAuley, Whyburn’s conjecture for some differentiable maps, Proc. Nat. Acad. Sci. U.S.A. 56 (1966), 405–412. MR 202116, DOI 10.1073/pnas.56.2.405
- 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
- Jussi Väisälä, Discrete open mappings on manifolds, Ann. Acad. Sci. Fenn. Ser. A I 392 (1966), 10. MR 0200928
- Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, Vol. 28, American Mathematical Society, New York, 1942. MR 0007095, DOI 10.1090/coll/028
- G. T. Whyburn, An open mapping approach to Hurwitz’s theorem, Trans. Amer. Math. Soc. 71 (1951), 113–119. MR 42693, DOI 10.1090/S0002-9947-1951-0042693-0
Bibliographic Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 660-661
- MSC: Primary 54.60
- DOI: https://doi.org/10.1090/S0002-9939-1968-0226604-9
- MathSciNet review: 0226604