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#1 Help Me ! » prove that τ is the topology on ℝ » 2010-05-25 19:05:26

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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 .

#2 Help Me ! » separation axiom » 2010-05-25 08:35:03

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Replies: 1

verify the separation axiom "T₀ , T₁ " for (ℝ,τ_{√2})

#3 Help Me ! » separation axiom » 2010-05-25 08:31:42

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Replies: 1

verify the separation axiom "T₀ , T₁ " for (ℝ,cc) .
where cc is cocountable topology

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