- #1

kpoltorak

- 15

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## Homework Statement

Given that A and B are in a topology, show that if A is contained in B, then the interior of A is contained in B.

## Homework Equations

The interior of A:={a: there exists a neighborhood which is a subset of A}

## The Attempt at a Solution

I can prove that the interior of A is contained in OR EQUAL TO the interior of B but I am having trouble showing that they cannot be equal. I have tried setting int(A)=int(B) and working towards a contradiction to no avail.

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