Patrick Sullivan, the former sheriff of Colorado’s Arapahoe County, is being held in the jail named after him. He was arrested Tuesday for allegedly offering a man methamphetamine in exchange for sex and sent to the Patrick J. Sullivan Jr. Detention Facility. He was sheriff of the county, which includes Littleton, from 1984 until 2002, and he was involved in the state’s methamphetamine-policy task force. The city of Littleton has not yet said if it will rename the jail.