Building pre-topological spaces
Pretopology

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Building pre-topological spaces


Pretopology

Author : Jean-Charles PINOLI

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

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15.  Building pre-topological spaces

15.1  By binary relations

On a given ambient set, binary relations can be used to construct pre-closure operators and thus pre-topological spaces.

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15.1.1  Approximation relations

Definition (preopological spaces induced by a first binary relation). Let E be a non-empty ambient set and .

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