Subsets of compact spaces
Can anyone provide me with an example of a compact space that has subsets that aren't compact?
Re: Subsets of compact spaces
Any compact subset of a Hausdorff space with the relative topology is a compact space.
Originally Posted by I-Think
Now any open set is that compact subspace is not compact. WHY?
Example: with the relative topology is a compact space.
But is not compact.