Complex sentence: Metrizable spaces inherit all topological properties from metric spaces, i.e. they are Hausdorff paracompact spaces (and hence normal and Tychonoff) and first countable.
Split into simpler sentences: Metrizable spaces inherit all topological properties from metric spaces. For example, they are Hausdorff paracompact spaces (and hence normal and Tychonoff) and first countable.