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On directional monogeneity sets

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Ukrainian Mathematical Journal Aims and scope

Abstract

We introduce and investigate some new differential properties of functions by using geometrical properties of directional monogeneity sets.1

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References

  1. Yu. Yu. Trokhimchuk, Continuous Mapping and Conditions of Monogeneity, Scientific Translations, Jerusalem (1964).

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  2. A. K. Layek and S. N. Mukhopadhyay, “On directional essential cluster sets,” J. London Math. Soc., 15 (2), 489–496 (1977).

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  3. J. C. Oxtoby, Measure and Category, Springer, New York (1971).

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  4. W. Wilczyñski, “Qualitative cluster sets,” Colloq. Math., 32, 113–118 (1974).

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University of Cairo, Giza, Egypt. Published in Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 4, pp. 517–522, April, 1997.

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Diab, F.M. On directional monogeneity sets. Ukr Math J 49, 569–575 (1997). https://doi.org/10.1007/BF02487319

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  • DOI: https://doi.org/10.1007/BF02487319

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