Question: Are 500 Fifth Avenue and Central Park Place in the same city?

Context articles: Carnegie Hill
L.P. Hollander Company Building
500 Fifth Avenue
995 Fifth Avenue
79th Street (Manhattan)
Central Park Hospital
36th Street (BMT Fifth Avenue Line)
Central Park Place
834 Fifth Avenue
Grand Army Plaza (Manhattan)

Carnegie Hill is a neighborhood within the Upper East Side, in the borough of Manhattan in New York City.
 Its boundaries extend from 86th Street on the south to 96th Street to the north, between Fifth Avenue (Central Park) on the west and Lexington Avenue on the east.
 The neighborhood is part of Manhattan Community Board 8.
 In the 2000s, the perceived northern boundary on Park Avenue has edged over East 96th street into what was traditionally Spanish Harlem, leading to that area sometimes being called Upper Carnegie Hill, especially by real-estate brokers.
 According to the official Carnegie Hill Neighbors website, Carnegie Hill extends from 86th to 105th Streets (between Fifth Avenue & Madison Avenue), but not including, Third Avenue.
The L.P. Hollander Company Building is located at 3 East 57th Street, New York City.
 The edifice received the 1930 gold medal of the Fifth Avenue Association for the "best structure" built in the Fifth Avenue district during the year.
 The L.P. Hollander Company Building was erected prior to the Empire State Building and 500 Fifth Avenue, which were judged for the year 1931.
 The Empire State Building and the Lilly Dache Building were designed by William F. Lamb of Shreve, Lamb & Harmon, architects, who was responsible for planning the L.P. Hollander Building.
 The Hollander Building was built by Starrett Brothers & Eken.
500 Fifth Avenue, located between West 42nd and 43rd Streets in Midtown Manhattan, New York City, is a 60-floor, 709-foot (216 m), 659,132 sq.ft office tower built from 1929 to 1931 and designed by the firm of Shreve, Lamb & Harmon in the Art Deco style.
 Constructed for Walter J. Salmon, Sr., it is adjacent to Bryant Park and the Salmon Tower Building, also built for Salmon.
995 Fifth Avenue is a 16-story co-op apartment building at 995 Fifth Avenue and East 81st Street in New York City, across Fifth Avenue from Central Park and the Metropolitan Museum of Art.
 It was constructed in 1926 as The Stanhope Apartment Hotel and designed by Rosario Candela.
 The building was converted to a residential co-op with 27 units in 2005 and renamed The Stanhope.
 It has since been renamed simply 995 Fifth Avenue.
79th Street is a major two-way street in the Upper East Side and Upper West Side of the New York City borough of Manhattan.
 On the Upper East Side East 79th Street stretches from East End Avenue, passing the New York Public Library, Yorkville Branch, to Fifth Avenue, where the entrance to the 79th Street Transverse is flanked by Children's Gate.
 The transverse crosses Central Park; its exit at West 81st Street on the Upper West Side is flanked by Hunters' Gate.
 79th Street does not exist between Central Park West and Columbus Avenue, due to the superblock of Manhattan Square, largely occupied by the American Museum of Natural History.
 West of Columbus Avenue, 79th Street continues and terminates in Riverside Park at a traffic circle directly after the exit/entrance ramps for the Henry Hudson Parkway, under which sit the 79th Street Boat Basin and its cafe.
The Central Park Hospital (officially the U.S. General Hospital, Central Park) was a military hospital that operated in New York City during the American Civil War, from 1862 to 1865.
 It occupied the former grounds of Mount St. Vincent's Academy near 102nd St and East Drive in Central Park, just west of Fifth Avenue and atop the Revolutionary War site of McGowan's Pass.
 In medical and military records it is usually referred to as the United States General Hospital, Central Park; and sometimes elsewhere as St. Joseph's Military Hospital (as it was named by Sisters of Charity, who built the complex and provided nursing staff).
36th Street was a station on the demolished section of the BMT Fifth Avenue Line.
 It was served by trains of the BMT Culver Line and BMT Fifth Avenue Line.
 It had four tracks and two island platforms.
 The station was opened on May 29, 1890, and was the southern terminus of the Fifth Avenue Line until 1893, as well as the southernmost station to be installed along Fifth Avenue itself.
 Stations built beyond this point were located along Third Avenue, and the line was sometimes called the BMT Third Avenue Line south of here.
 The next stop to the north was 25th Street.
 The next stop to the south was Ninth Avenue for Culver Line trains and 40th Street for Fifth Avenue Line trains.
 Ninth Avenue station still exists today exclusively for the BMT West End Line.
 The station closed on May 31, 1940.
 Current rapid transit service in this area can be found one block west at the 36th Street Station on the underground BMT Fourth Avenue Line.
Central Park Place is a 56-story condominium building in New York City.
 The building was completed in 1988, and is located at 301 West 57th Street (between Eighth Avenue & Ninth Avenue)."
 It is one of the one hundred tallest buildings in New York City, standing at 628 ft tall.
834 Fifth Avenue is a luxury residential housing cooperative in the Upper East Side of Manhattan, New York City.
 It is located on Fifth Avenue at the corner of East 64th Street opposite the Central Park Zoo in Central Park.
 The limestone-clad building was designed by Rosario Candela, a prolific designer of luxury apartment buildings in Manhattan during the period between World War I and World War II.
 834 Fifth Avenue is widely regarded as one of the most prestigious apartment houses in New York City.
 It has been called "the most pedigreed building on the snobbiest street in the country’s most real estate-obsessed city" in an article in the New York Observer newspaper.
 This status is due to the building's overall architecture, the scale and layout of the apartments, and the notoriety of its current and past residents.
 It is one of the finest buildings designed by Rosario Candela, according to "The New York Times".
Grand Army Plaza lies between 58th Street and 60th Street, just west of Fifth Avenue and just east of East Drive.
 It is bisected by Central Park South.
 The plaza is bounded on the north by Scholars Gate, once one of the two main entrances to the carriage drives of Central Park; bounded on the west by the famed Plaza Hotel; bounded on the south by the Bergdorf Goodman department store, formerly the site of the Cornelius Vanderbilt II House, once one of Fifth Avenue's grandest Gilded Age mansions.