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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)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On inductively open real functions
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by Biagio Ricceri PDF
Proc. Amer. Math. Soc. 90 (1984), 485-487 Request permission

Abstract:

In this note, given a locally connected topological space $X$, we characterize those continuous and locally nonconstant real functions on $X$ which are inductively open there.
References
  • A. Arhangel′skiĭ, On open and almost-open mappings of topological spaces, Dokl. Akad. Nauk SSSR 147 (1962), 999–1002 (Russian). MR 0143179
  • Biagio Ricceri, Sur la semi-continuité inférieure de certaines multifonctions, C. R. Acad. Sci. Paris Sér. I Math. 294 (1982), no. 7, 265–267 (French, with English summary). MR 653748
  • Biagio Ricceri and Alfonso Villani, Openness properties of continuous real functions on connected spaces, Rend. Mat. (7) 2 (1982), no. 4, 679–687 (1983). MR 699444
  • Biagio Ricceri, Applications de théorèmes de semi-continuité inférieure, C. R. Acad. Sci. Paris Sér. I Math. 295 (1982), no. 2, 75–78 (French, with English summary). MR 676366
  • Biagio Ricceri, Solutions lipschitziennes d’équations différentielles sous forme implicite, C. R. Acad. Sci. Paris Sér. I Math. 295 (1982), no. 3, 245–248 (French, with English summary). MR 681589
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 90 (1984), 485-487
  • MSC: Primary 54C10; Secondary 54C30
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0728374-3
  • MathSciNet review: 728374