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Let T consist of the empty set, R and all sets (-a,a) where a>0.
The first axiom is immediate. The second, showing the intersection Of 2 opens sets is open is also easy for me. Now I need to show infinite unions of open sets are open and I am unsure of the best way to proceed.
The first axiom is immediate. The second, showing the intersection Of 2 opens sets is open is also easy for me. Now I need to show infinite unions of open sets are open and I am unsure of the best way to proceed.