Article | REF: AF97 V1

Topological Spaces I. Basic Notions

Author: Jean-Charles PINOLI

Publication date: July 10, 2018, Review date: May 7, 2021

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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.

4.1 Sequences and generalized sequences of elements

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
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