Pre-topological spaces
Pretopology

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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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4. Pre-topological spaces

4.1 Primitive notions

Starting from an ambient set E, a pre-topological space can be constructed a priori from a certain number of primitive notions (primitive notions) that will form its foundations and that fall into the following four groups of ways of proceeding (p. 57 of ) (the term a priori indicates that certain primitive notions prove incapable of generating certain pre-topological spaces that are too general for them) (Fréchet, 1906) (Riesz, 1907, 1908,...

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