The city will file a motion to vacate a federal judge's ruling, according to the city Law Department.
The mayor praised the appeals court decision to halt Judge Shira Scheindlin's order to install a monitor.
Judge Shira Scheindlin, who ordered a federal monitor for the NYPD, was also removed from the case.
The city's request to hold off on a federal monitor of the police was denied Tuesday.
The city asked Judge Shira Scheindlin to put a stay on her earlier ruling on the police tactic.
The mayor said the measure would curb crime in the projects.
The mayor's office is fighting a federal judge's ruling that found the NYPD violated rights.
The city will file a notice of appeal Friday against Monday's stop-and-frisk decision.
The mayor and police commissioner vowed to appeal a federal judge's ruling against stop-and-frisk.
Judge Shira Scheindlin ruled that millions of New Yorkers were unlawfully stopped and searched.
A federal judge agreed Tuesday to postpone the ban until after another hearing in a few months.
Cops must have "reasonable suspicion" of trespassing before stopping people near certain Bronx buidlings.
Ponzi schemer Kenneth Starr was sentenced to 7 1/2 years in prison after pleading guilty to a $30 million fraud.
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