The four axiomatics of topological spaces
Pretopology
Quizzed article REF: AF96 V1
The four axiomatics of topological spaces
Pretopology

Author : Jean-Charles PINOLI

Publication date: February 10, 2020, Review date: May 7, 2021 | Lire en français

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3. The four axiomatics of topological spaces

Topological spaces are classically defined by one of the following four equivalent axiomatics [AF 97] .

3.1 Axioms relating to the open

A topological space can be introduced on an ambient set E via a collection of particular subsets called "open" such that :

Definition (topological space, axioms for open sets). A topological space is a pair (E,

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