LONDON -- Manchester United extended its six-year unbeaten streak at Anfield, beating Liverpool 1-0 on Sunday in the English Premier League.
Carlos Tevez's 43rd-minute goal from a corner also handed Liverpool its second straight league defeat after an unbeaten start to the season.
"It's a marvelous day for us," United manager Alex Ferguson said. "A good result and a good team performance and we had to show our discipline."
Liverpool co-owners George Gillett Jr. and Tom Hicks attended the match in Liverpool. The Americans held postmatch talks with manager Rafa Benitez for the first time since publicly feuding over player transfers in recent weeks.
The team said the meeting was "wide-ranging and positive."
"The discussions were amicable and constructive. All those present are united in their desire to bring further success to the club," the club said in a statement.
Against United, Benitez said his team didn't take its chances.
"We know we needed to win this game if we wanted to be closer," Benitez said. "Now for me, we know it's a long way so we have to keep going."
United scored when Ryan Giggs sent a corner along the ground to Wayne Rooney, who was unmarked on the edge of the penalty area. He passed to Tevez, who knocked the ball into the roof of the net.
Arsenal beat Chelsea for the first time in three years, winning 1-0 and maintaining its narrow lead at the top the Premier League.
William Gallas headed in a corner from Cesc Fabregas in first-half injury time. Arsenal leads the standings with 40 points, followed by United with 39 and Chelsea with 34.
"Our defense was outstanding today," Arsenal manager Arsene Wenger said. "Not only did they keep a clean sheet but they scored the goal as well. Overall I felt it was a great football game."
Liverpool is fifth with 30 points, three behind Manchester City.
MADRID, Spain -- Real Madrid maintained its four-point lead in the Spanish league by beating Osasuna 2-0.
Ruud van Nistelrooy and Wesley Sneijder scored a goal each to guarantee that Madrid, which has 38 points, will go into the two-week winter break as league leader regardless of the result of next Sunday's game at FC Barcelona.
Van Nistelrooy scored off Sneijder's free kick in the 16th minute, and Sneijder capped a play sparked by Robinho by curling a right-foot shot beyond the outstretched Ricardo Lopez in the 76th.
Villarreal snapped its two-game losing streak by beating Getafe 3-1. Nihat Kahveci scored two goals and Santiago Cazorla added the other for Villarreal, which had trailed Spanish leader Real Madrid by only one point before a three-game winless streak.
Kepa Blanco scored a consolation goal for Getafe.
Third-place Atletico Madrid was held to a 0-0 tie at Recreativo Huelva.
ROME -- AS Roma played without injured captain Francesco Totti and was held to a 0-0 tie at Torino in the Italian league.
Roma midfielder Simone Perrotta had to be restrained as he protested to the referee in the tunnel after the game for a missed foul on teammate Mirko Vucinic inside the goal area.
Totti sat out with the same right foot injury that recently kept him out for 40 days. He returned and played a few games for Roma but announced Saturday that the pain had returned.
Antonio Cassano scored with a header in the 70th minute to give Sampdoria a 2-2 tie with Fiorentina, and Palermo beat Atalanta 3-1.
GLASGOW, Scotland -- Inverness rallied from two goals down to upset Celtic 3-2 in the Scottish Premier League.
Jan Vennegoor of Hesselink scored two goals for defending champion Celtic, but John Rankin, David Proctor and Don Cowie scored for Inverness. Proctor was sent off halfway through the second half.
Celtic leads the league with 36 points, two more than Rangers, who beat hearts 2-1 Saturday.