Can anyone provide me with an example of a compact space that has subsets that aren't compact?
Follow Math Help Forum on Facebook and Google+
Originally Posted by I-Think Can anyone provide me with an example of a compact space that has subsets that aren't compact? Any compact subset of a Hausdorff space with the relative topology is a compact space. 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.
View Tag Cloud