October 5th, 2016, 01:46 PM  #1 
Newbie Joined: Oct 2016 From: Algeria Posts: 1 Thanks: 0  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.?

October 5th, 2016, 02:13 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,380 Thanks: 542  
April 17th, 2017, 07:08 AM  #3 
Newbie Joined: Apr 2017 From: South Africa Posts: 1 Thanks: 0 Math Focus: General Topology, Algebraic Topology, Differential Topology, Algebraic Geometry, Diff Geometry 
HINT: Show that it contradicts or doesn't satisfy one of the axioms for a topology on a set.

April 18th, 2017, 11:26 AM  #4  
Math Team Joined: Jan 2015 From: Alabama Posts: 2,829 Thanks: 753  Quote:
Quote:
 

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