Separation of continua by circumferences

Research output: Contribution to journalArticlepeer-review


It is shown that each doubly connected domain D, whose conformal module M(D) satisfies the condition log M(D)>π/2, contains a circumference that separates the boundary components of D, and the indicated boundary cannot be improved. Some consequences of this result are given.

Original languageEnglish
Pages (from-to)320-322
Number of pages3
JournalJournal of Soviet Mathematics
Issue number3
StatePublished - Feb 1991


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