The Hudson river valley greenway is hereby designated to include the counties, including all cities, towns and villages therein, of Westchester, Rockland, Orange, Putnam, Dutchess, Ulster, Columbia, Greene, Albany, Rensselaer, Saratoga and Washington; provided the greenway shall not include any area of Greene county within the Catskill park as defined in subdivision two of section 9-0101 of this chapter. In addition, in the city of New York the greenway shall include the areas of Bronx and New York counties that are both adjacent to the Hudson River and included as of the effective date of this section within the boundaries of such city's waterfront revitalization program prepared pursuant to article forty-two of the executive law. For purposes of the powers and duties of the council and conservancy regarding the Hudson river valley, such powers and duties shall be limited to the geographic area of the greenway as designated in this section.