A characterization theorem for monotone mappings

Floyd, E. E.; Fort, M. K.

doi:10.1090/S0002-9939-1953-0057535-4

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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A characterization theorem for monotone mappings
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by E. E. Floyd and M. K. Fort

Proc. Amer. Math. Soc. 4 (1953), 828-830

DOI: https://doi.org/10.1090/S0002-9939-1953-0057535-4

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References

E. E. Floyd, The extension of homeomorphisms, Duke Math. J. 16 (1949), 225–235. MR 30194
M. K. Fort Jr., A proof that the group of all homeomorphisms of the plane onto itself is locally arcwise connected, Proc. Amer. Math. Soc. 1 (1950), 59–62. MR 33017, DOI 10.1090/S0002-9939-1950-0033017-8
J. W. T. Youngs, The topological theory of Fréchet surfaces, Ann. of Math. (2) 45 (1944), 753–785. MR 12222, DOI 10.2307/1969303