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arXiv · 1512.03574

On lightness of one class of mappings in metric spaces

Evgeny Sevost'yanov·Sergei Skvortsov
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Abstract

For mappings in metric spaces satisfying one inequality with respect to modulus of families of curves, there is proved a lightness of preimage under the mapping. It is proved that, the mappings, satisfying estimate mentioned above, are light, whenever a function which corresponds to distortion of families of curves under the mapping, is of finite mean oscillation at every point.

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Evgeny Sevost'yanov, Sergei Skvortsov. 2015-12-11. On lightness of one class of mappings in metric spaces. https://arxiv.org/abs/1512.03574

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