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Standard topology and discrete topology 
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#1
Mar210, 11:19 AM

P: 3

How to compare the topology on R generated by the subbasis S={[x,y)x,y are rational}U{(x,y]x,y rational} to the discrete topology on R?



#2
Mar210, 11:42 AM

P: 41

Well, what are the basic open sets in the discrete topology?
Which of these are open in the topology generated by S and which aren't? (by the way, the topology generated by S is far from the standard topology) 


#3
Mar1410, 10:57 AM

P: 2




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