Exercise 2.5. Investigate whether an arbitrary intersection of open sets is open for the following topologies...

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Exercise 2.5. Investigate whether an arbitrary intersection of open sets is open for the following topologies on R: the indiscrete topology 3, the usual topology U, the left-hand topology L, the distinguished point topology Tro, and the right ray topology RR. Exercise 2.5. Investigate whether an arbitrary intersection of open sets is open for the following topologies on R: the indiscrete topology 3, the usual topology U, the left-hand topology L, the distinguished point topology Tro, and the right ray topology RR.