The divergence of the image of a point sequence under a conformal mapping

P. M. Tamrazov


Abstract: We show that every point sequence contained in an open disk and converging towards its boundary can, by means of a conformal homeomorphism of this disk into the Riemann sphere, be carried over into a sequence whose limit set contains the whole continuum.

UDC: 517.5

Received: 25.12.1972

 English version: Mathematical Notes, 1974, 15:4, 319–323

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