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Any uncountable set X with co-finite topology is not first countable and so not second countable

Education With Ayesha

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Any uncountable set X with co-finite topology is not first countable and so not second countable

4 864 просмотра · 5 л. назад
Education With Ayesha
8,36 тыс. подписчиков
4 864 просмотра · 5 л. назад
In this video we will discuss an important theorem of topology the statement of this theorem is that Theorem 7.9.1: "Any uncountable set X with co-finite topology is not first countable and so not second countable" we understand each and every concept of this theorem & make sure you will understand it conceptually. Link of complete Playlist of Topology.    • Topology on a Set | Its Conditions & Examp...   #7.9.1Theorem #UncountableSetwithCo-finiteTopology If you feel any doubt about this theorem then you will ask me through comments... If you understand my videos then please like and share these videos...... THANK YOU