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Article | REF: AF98 V1

Topological Spaces II. Special Spaces

Author: Jean-Charles PINOLI

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

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4. New notions of separation

Classical separations are insufficient from a theoretical point of view, but are also insufficient for certain applications, notably in computer science (p. 465 of ) or in applied geometry; hence the introduction of new separation notions weaker than the T 2 separation.

4.1 Separation R0 (Shanin)

Definition (Shanin separation (1943)). A topological space (E,

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