Geodesic
Cantor-connectedness revisited
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 525-532.

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Following Preuss' general connectedness theory in topological categories, a connectedness concept for approach spaces is introduced, which unifies topological connectedness in the setting of topological spaces, and Cantor-connectedness in the setting of metric spaces.
Classification : 54A05, 54B30, 54D05
Keywords: connected; Cantor-connected; metric space; topological space; approach space 
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Lowen, R. Cantor-connectedness revisited. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 525-532. http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a13/