Typical finishes for marble are:
Polished: A glossy surface that brings out the full color and character of the marble. It is not generally recommended for exterior use or commercial floors.
Honed: A satin-smooth surface with little or no gloss, recommended for commercial floors.
Abrasive: A flat, nonreflective surface, usually recommended for exterior use.
Other finishes, such as axed, bush hammered, rock faced, rough sawn, or tooled, are also available.