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On Sokhotski--Casorati--Weierstrass theorem on metric spaces

Complex Variables 2017-08-04 v5

Abstract

In a neighborhood of isolated point of a domain of a metric space, a behavior of generalized quasiconformal mappings is studied. It is proved that, mappings mentioned above have continuous extension to the domain at some additional conditions. As consequence, an analog of Sokhotski--Weierstrass theorem is obtained.

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Cite

@article{arxiv.1608.07566,
  title  = {On Sokhotski--Casorati--Weierstrass theorem on metric spaces},
  author = {E. A. Sevost'yanov and A. A. Markysh},
  journal= {arXiv preprint arXiv:1608.07566},
  year   = {2017}
}

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