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: 6,438 Thanks: 562  
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: 2,959 Thanks: 801  Quote:
Quote:
 

Tags 
show, topology 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Help with Topology  leonhardeuler  Topology  8  February 26th, 2017 05:12 PM 
Problem on product topology/standard topology on R^2.  vercammen  Topology  1  October 19th, 2012 12:06 PM 
want to show that show that two infinite summations R equal  notnaeem  Real Analysis  4  August 16th, 2010 01:32 PM 
discrete topology, product topology  genoatopologist  Topology  0  December 6th, 2008 11:09 AM 
discrete topology, product topology  Erdos32212  Topology  0  December 2nd, 2008 02:04 PM 