Those in favor of and against the ban held dueling press conferences outside City Hall.
The suspect has tagged at least 50 places in Harlem, the Upper West Side and Hamilton Heights.
Helen Rosenthal and Mark Levine proposed legislation that would ban cars in certain parts of the park.
The police commissioner told the City Council he also wants funding for 1,000 new police officers.
The parade had previously barred openly gay groups from participating, saying it politicized the march.
Mayor Bill de Blasio said major changes are coming to the city's public housing developments.
The council speaker said there's "no cause for concern" after she tested positive for high-risk HPV.
The open house will be from 6 to 8 p.m. Friday Aug. 22.
Capt. Thomas Harnisch, of the 25th Precinct, reinstated the permit and met with organizers.
Mark-Viverito used Twitter to reveal she has a high-risk version of the sexually transmitted virus.
The mayor unveiled a plan to fund more community initiatives to fight a spike in gun violence.
Harlem's indoor market will receive money to help open new small businesses and attract more customers.
The mayor could boost his stature nationally if the 2016 DNC comes to Barclays Center.
DNAinfo New York mapped how City Council members doled out their discretionary funds.
The developers began a series of community meetings to get feedback on their planned 1,000-unit tower.
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