Abstract
Finite cuts have been studied in several different contexts. Whyburn [26] in 1928 showed that the set of cut points of a Peano continuum has the structure of a “dendrite”. This “dendritic” decomposition of continua has been extended and used to prove several results in continua theory. We recall here that a continuum is a compact, connected Hausdorff space and a Peano continuum is a locally connected metric continuum. If X is a continuum, we say that a point c is a cut point of X if X fcg is not connected. Whyburn’s work was extended by others and the more abstract framework of pretrees proposed by Ward [25] has proved adequate for studying cuts; see Bowditch [6], Adeleke and Neumann [2] and our paper [18].
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