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28

Filtre de Fréchet

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En topologie, le filtre de Fréchet, dû à Maurice René Fréchet, est le filtre <math>F \subset \textbf{P}(\mathbb{N})</math> des complémentaires des parties finies de <math>\mathbb{N}.</math>

Ce filtre est engendré par la base de filtre <math>\sigma(\mathbb{N}) </math> constituée des segments terminaux <math>S_{k}= \{i\in\mathbb{N}|i\geq k \}, \quad k=0,1,2 \ldots</math>

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