For professional printing, global colors can be made to overprint. By applying an overprint color to objects selectively you can control overprinting.
Overprinting means that you can print one ink color on top of another instead of, by default, the underlying color being 'knocked out' (removed). This prevents unwanted fringing being left around objects, e.g. text.
As a professional printing feature, overprint works when publishing PDFs using a CMYK color space and PDF/X compatibility.
You don't need to explicitly make an overprint for black, for black text or black graphics, as this is set by default. On PDF publishing, you can control black overprinting using the Overprint black option in the Export Settings dialog (File>Export>PDF>More).