The city was set to get up to 8 inches of snow Monday, with another storm headed our way on Wednesday.
Workers will still be dealing with snow removal, officials said.
New Yorkers were urged to wear layers and notify authorities of anyone they think needs help.
The mayor said emergency response times were a minute slower than usual and warned of icy roadways.
Jimmy Van Bramer is allocating $65,000 to bring street cleaning teams to the neighborhood.
Traffic agents began enforcing the rules Monday, nearly two months after they were suspended in the area.
Alternate side enforcement is set to go back in effect June 24.
Alternate side parking is suspended on Friday.
Parking rules will be tabled in northern Manhattan beginning April 29, according to a city councilman.
With the exception of Saturday, alternate side parking is suspended citywide through April 2.
Parking rules will be shelved while DOT installs new street cleaning signs below West 181st Street.
A plan to bring alternate side parking to the Queens neighborhood has evoked fierce opposition.
Snow removal and holidays mean that alternate side parking rules won't resume until Feb. 14, 2013.
Many subway lines are still partly or fully suspended after Hurricane Sandy.
On Independence Day, alternate side parking rules will be suspended.
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