8. Notions of connectedness
8.1 Connections
In a metric space, a ball is not necessarily connected by paths (p. 225 of ).
Theorem of Mazurkiewicz (1913, 1916), Moore (1916) and Menger (1929). A complete, locally connected metric space is locally connected by paths (p. 254 of ).
Theorem of Hahn...
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Notions of connectedness
Metrisability and metrisation
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