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Define τ⊂ P(ℝ) as follows:
τ={φ}∪{u⊆ℝ:{-π,π}⊆u} .
prove that τ is a topology on ℝ .
verify the separation axiom "T₀ , T₁ " for (ℝ,τ_{√2})
verify the separation axiom "T₀ , T₁ " for (ℝ,cc) .
where cc is cocountable topology
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