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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
DOI: 10.2307/2038242
Stable URL: http://www.jstor.org/stable/2038242
Page Count: 5
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Class of Arcwise Connected Continua
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Abstract

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.

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