Prove that (ℝ,τ_{√2})is T₀ but not T₁,T₂, , Regular , normal , where τ_{√2}={u∩√2:u∈τ}

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- May 25th 2010, 12:25 AMblblseparation axiom
Prove that (ℝ,τ_{√2})is T₀ but not T₁,T₂, , Regular , normal , where τ_{√2}={u∩√2:u∈τ}

- May 25th 2010, 12:30 AMDrexel28
- May 25th 2010, 02:37 AMHallsofIvy
For that matter, what does it mean to intersect a set with a number?