DOP is a function expressing the mathematical quality of solutions based on the geometry of the satellites. Position dilution of precision (PDOP), the most common such value, has a best case value of 1, higher numbers being worse. The best PDOP would occur with one satellite directly overhead and three others evenly spaced about the horizon. Higher numbers of PDOP are worse. PDOP could theoretically be infinite, if all the satellites were in the same plane.
PDOP has a multiplicative effect on the user range error (URE) value. A URE of 32 meters with a PDOP of one would give a user an assumed best accuracy of 32 meters. A PDOP of 2 would result in an assumed accuracy of 64 meters. Many receivers can be programmed to stop providing position solutions above a specific PDOP level (6 is common).
There are several other DOP factors such as horizontal and vertical DOP, geometric DOP and time DOP.