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Math Help - separation axiom

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    separation axiom

    Prove that (ℝ,CC)is T₀ but not T₁,T₀ ,T₂ , Regular , normal . "where CC is cocountable topology"
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by blbl View Post
    Prove that (ℝ,CC)is T₀ but not T₁,T₀ ,T₂ , Regular , normal . "where CC is cocountable topology"
    Where's the work! Define your terms! Cocountable meaning the complements of countably infinite sets or sets which are countably infinite OR finite? T0 means Kolomogorov, you can find a set which contains one of two points but not the other?
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