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 of Moore space such that all crosscuts of 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.
-  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
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Keywords: Continua, connectedness, Moore space, compactness, separation, accessibility
Article copyright: © Copyright 1971 American Mathematical Society