4. Sequences of points and subsets
In general topology, the first sequences (and generalized sequences) to consider are those made up of points, followed by those made up of subsets (p. 29 of
).
We also discuss sequences of applications between two topological spaces.
Definition (sequence of elements). In a set E, a (countable) sequence of elements is an application defined on the totally ordered set
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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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