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On differentiability of open mappings

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Ukrainian Mathematical Journal Aims and scope

Abstract

The well-known Men’shov and Gehring-Lehto theorems on the differentiability of topological mappings of plane domains are generalized to the case of continuous open mappings of many-dimensional domains.

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References

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. V. Bondar

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  1. A. V. Bondar
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 12, pp. 1587–1600, December, 1998.

This work was financially supported by the INTAS Foundation (grant No. 94-1474).

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Bondar, A.V. On differentiability of open mappings. Ukr Math J 50, 1811–1826 (1998). https://doi.org/10.1007/BF02514198

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  • DOI: https://doi.org/10.1007/BF02514198

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