Quasi-Jordanian continua
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- by Robert E. Jackson PDF
- Proc. Amer. Math. Soc. 27 (1971), 387-390 Request permission
Abstract:
A generalization of ordinary closed Jordan curves is obtained by considering nondegenerate compact continua which form the boundary of a simply connected open subset $D$ of Moore space such that all crosscuts of $D$ disconnect its closure. Separation in such continua by points of accessibility and the relation of such continua to their (possibly infinitely many) complementary domains are studied.References
- R. L. Moore, Foundations of point set theory, Revised edition, American Mathematical Society Colloquium Publications, Vol. XIII, American Mathematical Society, Providence, R.I., 1962. MR 0150722
- John G. Hocking and Gail S. Young, Topology, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1961. MR 0125557
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 387-390
- MSC: Primary 54.38
- DOI: https://doi.org/10.1090/S0002-9939-1971-0276927-2
- MathSciNet review: 0276927