3. Sequences of points and subsets
In a metric space, (countable) sequences of points are sufficient to characterize its topological properties. Generalized sequences of points are therefore not useful.
In metric spaces, sequences of points are treated in much the same way as in Euclidean spaces (p. 3 of
).
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Sequences of points and subsets
Bibliography
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(1) - AARTS (J.M.), NISHIURA (T.) -
Dimension and Extensions,
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North Holland, 331 pages (1993).
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(2) - ADAMS (C.), FRANZOSA (R.) -
Introduction to Topology Pure and Applied,
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Pearson, 507 pages (2008)....
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