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On the global behavior of homeomorphisms of metric spaces

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For the metric spaces, the homeomorphisms more general than conformal mappings are studied. It is proved that the families of ine indicated mappings are equicontinuous in their closure under definite conditions imposed on the boundaries of the corresponding domains.

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Correspondence to Evgeny A. Sevost’yanov.

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Translated from Ukrains’kiǐ Matematychnyǐ Visnyk, Vol. 14, No. 3, pp. 399–417 July–September, 2017.

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Sevost’yanov, E.A. On the global behavior of homeomorphisms of metric spaces. J Math Sci 231, 70–82 (2018). https://doi.org/10.1007/s10958-018-3806-0

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