Fiber mesh will NOT prevent the concrete from cracking. Wire mesh will NOT prevent the concrete form cracking. Rebar will NOT prevent the concrete from cracking. A good mix, and no overworking will help it not to crack. One member told me that there are only two guarantees for concrete, and that it is guaranteed against fire and theft.
Rebar is your best bet when it comes to concrete. IF it cracks, the rebar will prevent it from creating a trip hazard. Fiber or wire mesh WILL NOT do that.
What you want is a good compacted base, and control joints no more than 10' apart. When it cracks, it will crack in the joints, hopefully. Avoid any "points" on the concrete where a section goes into another section but may leave a "vee" or an upside down "vee". An area like that will tend to crack. Don't let them overwork the concrete. If they have the correct mix and slump, they should screed it, bull float it, then broom it.
Also.....DO NOT pour on a hot day as the concrete will set up too fast. We ran into this on my pour when it was 90 degrees at about 8:00 am. Even with a vapor barrier underneath, the sun sucked the moisture right out of the concrete.
Good luck and post up some pics