I need the answer please
1 answer:
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Answer:
Remember that a set is a base for some topology on
if satisfy the following properties:
1.
2. For , If
then exist
such that
.
Now, for we verify the above properties:
1. It's clear that
2. Let . Without loss of generality suppose that
. Then
, this implies that
and
and
.
Then, B satisfy the two properties. This show that B is a basis for a topology in
Not 100% sure this is correct but this seems correct.
