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#1 2010-05-25 19:05:26
- blbl
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- Registered: 2010-05-25
- Posts: 4
prove that τ is the topology on ℝ
Define τ⊂ P(ℝ) as follows:
τ={φ}∪{u⊆ℝ:{-π,π}⊆u} .
prove that τ is a topology on ℝ .
Last edited by blbl (2010-05-26 02:49:34)
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#2 2010-05-26 14:21:24
- Ricky
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- Registered: 2005-12-04
- Posts: 3,791
Re: prove that τ is the topology on ℝ
What is phi?
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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