On removable singularities of mappings in uniform spaces
Journal Title: Математичні Студії - Year 2019, Vol 52, Issue 1
Abstract
The paper is devoted to the study of mappings of two metric spaces that distort the modulus of families of paths by analogy with the Poletskii inequality.We deal with the situation when the mapping acts in a space that admits weak sphericalization, while the corresponding extended metric space is uniform. For such mappings, the possibility of continuous extension to an isolated boundary point is proved and, as a consequence, an analogue of the Sokhotski-Casorati-Weierstrass theorem is obtained.
Authors and Affiliations
E. A. Sevost’yanov, S. A. Skvortsov, N. S. Ilkevych
Keywords
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- EP ID EP673795
- DOI 10.30970/ms.52.1.24-31
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