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A Class of Arcwise Connected Continua
Charles L. Hagopian
Proceedings of the American Mathematical Society
Vol. 30, No. 1 (Sep., 1971), pp. 164-168
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2038242
Page Count: 5
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It is known that every bounded semi-aposyndetic plane continuum which does not separate the plane is arcwise connected. To show that this theorem remains true if the phrase "does not separate the plane" is replaced by "does not have infinitely many complementary domains" is the primary purpose of this paper.
Proceedings of the American Mathematical Society © 1971 American Mathematical Society