I need some help understanding the countability and separation axioms in general topology, and how they give rise to first-countable and second-countable spaces, T(adsbygoogle = window.adsbygoogle || []).push({}); _{1}spaces, Hausdorff spaces, etc.

I more or less get the formal definition, but I can't quite grasp the intuition behind them.

Any help and insights would be highly appreciated.

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# I General topology: Countability and separation axioms

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