Transactions of the American Mathematical Society
A continuum is cyclicly connected provided each pair of its points lie together on some simple closed curve. In 1927, G. T. Whyburn proved that a locally connected plane continuum is cyclicly connected if and only if it contains no separating points. This theorem was fundamental in his original treatment of cyclic element theory. Since then numerous authors have obtained extensions of Whyburn's theorem. In this paper we characterize cyclic connectedness in the class of all Hausdorff continua.
Citation: Pilot Scholars Version (Modified MLA Style)
Bellamy, David P. and Lum, Lewis, "The Cyclic Connectivity of Homogeneous Arcwise Connected Continua" (1981). Mathematics Faculty Publications and Presentations. Paper 3.