- #1
- 3
- 0
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?
On any given set X the discrete topology is the whole power set of X. How are topologies on X related to the power set of X? I hope you get it.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?