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## Homework Statement

Show that (0,1) is no homeomorphic to [0,1]

## Homework Equations

## The Attempt at a Solution

I understand the usual procedure for proving this - remove a point from each of the spaces and check for connectedness. My only question is, the topology on each space isn't specified. Do I assume it's the subspace topology or what?

In general, when given questions like this, with no topology given, do I just infer from the context of the question which topology I should use?