Some of the names mentioned were that of pop star Chayanne, boxer Félix "Tito" Trinidad and actor Raúl Juliá.
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On May 26, 2011, the Choliseo was ranked 8th on the "Top 50 Arena Venues" of the world and second of the West Hemisphere in worldwide ticket sales by Pollstar Magazine, surpassing Los Angeles' Staples Center, Miami's American Airlines Arena, London's Wembley Arena, etc.
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During the construction phase, plans called for the coliseum to be named simply El Coliseo de Puerto Rico (The Coliseum of Puerto Rico), but when it was also suggested that a private entity could sponsor the facility and thereby lend its name to it, most local politicians objected to the idea, since the financial scandal involving Enron reminded them that the bankrupt company had sponsored a sports facility, which was the Enron Field, later renamed Minute Maid Park in Houston.
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Political opponents of Pedro Rosselló's administration raised various objections to the original plan, claiming that the lot of land purchased for the construction would benefit some of his political party's (PNP) heaviest financial contributors.
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Local producer Angelo Medina spearheaded a group that wanted the legislature to curb the managing powers of SMG, recently named to oversee operations and activities, because they feared that the company's relationship with non-local television companies would limit the participation of local talent in the arena.
San Jose | Luis Miguel | San José | San José, Costa Rica | San Miguel de Tucumán | San Miguel | José Carreras | Miguel de Cervantes | San Miguel, El Salvador | José Feliciano | San Jose Mercury News | José José | José Saramago | José María Aznar | José Ferrer | San Jose State University | José Rizal | José de San Martín | San Jose Sharks | São Miguel Island | Miguel de Unamuno | San Miguel de Allende | San José Province | Los Angeles Memorial Coliseum | José Raúl Capablanca | José Limón | Miguel Bosé | José Martí | José Luis Rodríguez Zapatero | José González |
As Secretary of Transportation, he is credited as the driving force behind the $2 billion Tren Urbano (Urban Train), the Superaqueduct that has resolved metropolitan San Juan's water rationing problems, numerous road construction projects and the construction of the José Miguel Agrelot Coliseum in San Juan.