The 37th Avenue building has been shuttered since an April fire caused by overloaded power strip.
Contractors put up wooden boards around Roger That Community Garden.
Noisy construction has turned the neighborhood into a "war zone," residents said.
NYCHA said they'll make alternative arrangements for tenants who can't stay home for construction.
A plan for East River berms won federal funding, as did proposals in The Bronx and Staten Island.
The proposed building would have 27 residential units and 5,900-square-feet of retails space.
The woman was hit by a blade being used in a five-year water main project.
Residents asked the Port Authority to help ease traffic caused by the construction project.
More than 250 people have signed a petition to reduce noise at a development on Bond Street.
Two lanes will be closed between 11 p.m. and 5:30 a.m. two nights this week while crews make repairs.
Local elected officials wants to require developers to get city approval to build near schools.
The 2, 3, 4, 5, 6, A, C, E, F, G, J, M, N, Q, R and S lines will be affected this weekend.
Outdoor leather fest Folsom Street East will move to 27th Street to escape construction in the area.
Residents complained about air quality, dust, noise and water issues because of the project.
The $17.5 million construction project has been underway for more than two years.
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