- #1

tomkoolen

- 40

- 1

I was wondering if someone could assist me with the following problem:

Let T be the topology on R generated by the topological basis B:

B = {{0}, (a,b], [c,d)}

a < b </ 0

0 </ c < d

Compute the interior and closure of the set A:

A = (−3, −2] ∪ (−1, 0) ∪ (0, 1) ∪ (2, 3)

I understand that in Euclidean topology I would just include/exclude the boundary points but I don't know how to do this with a different topology, especially since I feel that this topological space is very, very similar to the Euclidean topology, I have shown that all opens in that space are open here as well. What do I do?

Thanks in advance!