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October 5th, 2016, 12:46 PM   #1
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show that τ is not a topology

How do I solve this problem: Let τ be a set such asτ= {R, ∅} ∪ {Bq, q∈Q} where Bq=] q,+∞ [∩Q. Show that (R,τ) isn't a topological space.?
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October 5th, 2016, 01:13 PM   #2
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Quote:
Originally Posted by Eria View Post
How do I solve this problem: Let τ be a set such asτ= {R, ∅} ∪ {Bq, q∈Q} where Bq=] q,+∞ [∩Q. Show that (R,τ) isn't a topological space.?
Clarify:
Quote:
asτ
Quote:
Bq=] q,+∞ [∩Q
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