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

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Bibliography

(1) - AARTS (J.M.), NISHIURA (T.) - Dimension and Extensions, - North Holland, 331 pages (1993).
(2) - ADAMS (C.), FRANZOSA (R.) - Introduction to Topology Pure and Applied, - Pearson, 507 pages (2008).
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