Electronic Version 17 (1992), 325-331

B. E. Wilder

We define a continuum M to have Property C (or to be a C-continuum) provided it is true that if x, y and z are three points of M, then M contains a continuum, K, containing x and containing only one of the points y and z. In this note we show that this property defines a class of continua lying between the aposyndetic and the indecomposable continua, and identify some of the early theorems of Jones and Whyburn which can and cannot be extended to this class of continua.

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volume 17: table of contents
topology proceedings Electronic Version