Espace résoluble

Cet article est une ébauche concernant la topologie.

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En mathématiques, un espace topologique est dit résoluble s'il possède deux parties complémentaires denses. Un espace topologique non résoluble est dit insoluble.

Par exemple, R muni de sa topologie usuelle est résoluble car l'ensemble des rationnels et celui des irrationnels sont tous les deux denses dans R.

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