Before Jay-Z took the stage September 28, on the Barclays Center's opening night — before he christened the building, before he consummated his home borough’s ascendance — we got a short video ticking off a selective list of Brooklyn’s accomplishments. “1862: BROOKLYN RAILROAD BEGINS OPERATION” and “1893: BROOKLYN BRIDGE COMPLETED” and “1895: BROOKLYN MUSEUM FOUNDED.” We saw “1913: EBBETS FIELD OPENS” and “1945: JACKIE ROBINSON JOINS THE BROOKLYN DODGERS” and “1949: MARCY PROJECTS BUILT.” And then the jouncy jazz riff playing under the montage cut out for the bone-crunching guitars of “No Sleep Till Brooklyn,” and a string of Brooklyn babies were trumpeted: Basquiat, Biggie, Jordan, Aaliyah, Tyson, ODB, and Adam “MCA” Yauch, born in downtown Brooklyn in 1967. Twenty seconds later — before the montage picked up speed beyond decipherability, as if to suggest the borough’s simply overwhelming success rate — we saw Yauch again, along with The Beastie Boys: “1986: LICENSED TO ILL RELEASED.”