A class of arcwise connected continua
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- by Charles L. Hagopian PDF
- Proc. Amer. Math. Soc. 30 (1971), 164-168 Request permission
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.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 164-168
- MSC: Primary 54.55
- DOI: https://doi.org/10.1090/S0002-9939-1971-0281164-1
- MathSciNet review: 0281164