Question: What building, at one time, housed the MLB Astros, NFL Oilers, NBA Rockets and hosted the UCLA Bruins men's basketball team when they won the Championship in 1971?

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2005–06 UCLA Bruins men's basketball team: The 2005–06 UCLA Bruins men's basketball team represented the University of California, Los Angeles in the 2005–06 NCAA Division I men's basketball season.  The UCLA Bruins finished the regular season with a 14–4 record in conference play.  After winning the Pac-10 Tournament, the Bruins conference record was 17–4.  The team reached the 2006 NCAA Men's Division I Basketball Tournament championship game, losing to the Florida Gators.  The Bruins finished with 32 wins (14 more than the previous season).

1987–88 UCLA Bruins men's basketball team: The 1987–88 UCLA Bruins men's basketball team represented the University of California, Los Angeles in the 1987–88 NCAA Division I men's basketball season.  UCLA hosted the #12 Temple Owls and the #4 North Carolina Tarheels.  UCLA lost their home game to the #3 Wildcats 76-78 in overtime.  The Bruins finished tied for second place in the Pac-10 behind Arizona.  In the Pac-10 Tournament UCLA was upset in their first game vs. Washington St. The Bruins did not play in any post season tournaments after that for the first time in four years.  Walt Hazzard who had played for UCLA under John Wooden, coached for his fourth and final year at UCLA (the longest tenure at this point of any post-Wooden coach).

1991–92 UCLA Bruins men's basketball team: The 1991–92 UCLA Bruins men's basketball team represented the University of California, Los Angeles in the 1991–92 NCAA Division I men's basketball season.  Jim Harrick coached his fourth year for the Bruins.  The Bruins started the season ranked 11th in the AP Poll and beat the #2 Indiana Hoosiers, 87-72, in their season opener at the Hall of Fame Tip-Off Classic (Springfield, MA).  This UCLA squad won their first 14 games, which was their best start since John Wooden's 1972–73 team.  For the first time since the 1986–87 season, the Bruins were Pac-10 conference champions with a 16–2 conference record (there was no Pac-10 tournament that year).  The Bruins were given a #1 seed in the NCAA Tournament that year, but lost to Indiana in the Elite Eight, 79-106.  UCLA finished ranked 3rd and 4th in the UPI and AP Polls respectively.

Sports in Los Angeles: The Los Angeles metropolitan area is home to several professional and collegiate sports teams.  The Greater Los Angeles Area has nine major league professional teams: the Anaheim Ducks, the Los Angeles Angels, the Los Angeles Chargers, the Los Angeles Clippers, the Los Angeles Dodgers, LA Galaxy, the Los Angeles Kings, the Los Angeles Lakers, and the Los Angeles Rams.  Los Angeles FC will begin play as the area's tenth major team in 2018.  USC Trojans football, UCLA Bruins men's basketball, USC Trojans baseball, USC Trojans track & field, and Cal State Fullerton Titans baseball are all historically premier organizations in college sports.  Other major sports teams include UCLA Bruins Football, Los Angeles Sparks, Pepperdine Waves baseball, and formerly the Los Angeles Raiders and Los Angeles Aztecs.  Between them, these Los Angeles area sports teams have won a combined 105 Championship Titles.  Los Angeles area colleges have produced upwards of 200 National Championship Teams, primarily from USC Trojans and UCLA Bruins of the Pac-12 Conference.  The 1932 and 1984 Summer Olympics were held in Los Angeles.  In 2028 the city will host the Olympics for a third time.

1983–84 UCLA Bruins men's basketball team: The 1983–84 UCLA Bruins men's basketball team represented the University of California, Los Angeles in the 1983–84 NCAA Division I men's basketball season.  The Bruins started the season ranked 9th in the nation (AP Poll).  On January 28, the Bruins hosted #2 Depaul, losing 68-84.  UCLA beat the #13 (AP Poll) Washington Huskies 73-59, on March 1 for their biggest win of the season.  UCLA's team finished 4th in the Pac-10 and was unranked in the final AP and coaches polls.  This was Larry Farmer's third and final year as head coach of the UCLA Bruins.  The team did not qualify for the NCAA Men's Division I Basketball Championship, and declined an invitation to the National Invitation Tournament.

1971–72 UCLA Bruins men's basketball team: The 1971–72 UCLA Bruins men's basketball team won the National Collegiate Champion on March 25, 1972, in the Los Angeles Sports Arena with an 81–76 victory over Florida State.  It became the eighth championship in nine years under head coach John Wooden, who was coaching his 25th year at UCLA.  The 1971–72 UCLA basketball team had a record of 30–0, in the process winning its games by an average margin of more than 30 points.  The season was also part of UCLA's NCAA record 88-game winning streak.  The UCLA streak contributed to a personal winning streak that lasted almost five years.  It began "The Walton Years" for Coach Wooden.

1977–78 UCLA Bruins men's basketball team: The 1977–78 UCLA Bruins men's basketball team represented the University of California, Los Angeles in the 1977–78 NCAA Division I men's basketball season.  Gary Cunningham, who would be the highest winning percentage coach of all time at UCLA, began his first of two years.  The Bruins started the season ranked 6th in the nation (AP Poll).  The Bruins started the season 4–0 before losing at Notre Dame.  UCLA's team finished 1st in the Pac-8 regular season.  They went undefeated in conference play for the first time since John Wooden's 1972–73 team in the last Pac-8 year, as the conference would add the two Arizona universities, becoming the Pac-10.  UCLA participated the NCAA Tournament where they lost to Arkansas.

Astrodome: The NRG Astrodome, also known as the Houston Astrodome or simply The Astrodome, is the world's first multi-purpose, domed sports stadium, located in Houston, Texas.  Construction on the stadium began in 1962, and it officially opened in 1965.  It served as home to the Houston Astros of Major League Baseball (MLB) from its opening in 1965 until 1999, and the home to the Houston Oilers of the National Football League (NFL) from 1968 until 1996, and also the part-time home of the Houston Rockets of the National Basketball Association (NBA) from 1971 until 1975.  Additionally, the Astrodome was the primary venue of the Houston Livestock Show and Rodeo from 1966 until 2002.  When opened, it was named the Harris County Domed Stadium and was nicknamed the "Eighth Wonder of the World".

1992–93 UCLA Bruins men's basketball team: The 1992–93 UCLA Bruins men's basketball team represented the University of California, Los Angeles in the 1992–93 NCAA Division I men's basketball season.  The Bruins began the season ranked 24th in the AP Poll.  The team finished 3rd in the conference.  The Bruins competed in the 1993 NCAA Men's Division I Basketball Tournament.  The UCLA Bruins beat Iowa State in the first round, 81-70, and lost to Michigan in the second round, 84-86.

1970–71 UCLA Bruins men's basketball team: The 1970–71 UCLA Bruins men's basketball team won the National Collegiate Champion again on March 13, 1971, in the Astrodome Houston, Texas.  It became the seventh championship in eight years under head coach John Wooden.  UCLA defeated Villanova, 68-62.  Villanova's second place was vacated later by NCAA.

Supporting paragraphs: 1970–71 UCLA Bruins men's basketball team Astrodome
Answer: The Astrodome