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#1 2010-05-25 19:05:26

blbl
Member
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
Moderator
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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