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Zagalnij filtr v teoriyi mnozhin vid filtra yakij vikoristovuyetsya v tehnici forsinga dlya dovedennya nezalezhnosti tverdzhen v aksiomatichnih teoriyah mnozhin Pershu versiyu forsinga vikoristav Pol Koen dlya dovedennya nezalezhnosti kontinum gipotezi vid ZFC Vikoristayemo sho Pidmnozhina E chastkovo vporyadkovanoyi mnozhini P nazivayetsya shilnoyu yaksho p P e E e p displaystyle forall p in P quad exists e in E quad e leq p Viznachennya Todi yaksho D ye simejstvom shilnih pidmnozhin P filtr F v P nazivayetsya D zagalnim yaksho E D F E displaystyle forall E in D quad F cap E neq emptyset Div takozh red Lema Rasovoyi Sikorskogo Aksioma MartinaDzherela red Kuratovskij K Mostovskij A Teoriya mnozhestv Set Theory Teoria mnogosci M Mir 1970 416 s ros Otrimano z https uk wikipedia org w index php title Zagalnij filtr amp oldid 36628762