Boris Becker used a powerful serve and the memory of his last meeting with Stefan Edberg to defeat the world's top-ranked player, 7-6 (7-4), 6-4, 6-4, in yesterday's Australian Indoor final in Sydney.

"I thought about Wimbledon before but not during," the 2 1/2-hour match, said Becker, who lost that Grand Slam final to Edberg in July. "But I won't completely forget it until I get a chance to beat him there."

The victory, worth $130,000 of the $1 million purse, allows Becker to close the gap slightly on Edberg in the year-end race for the top computer ranking.

Becker took the first set in 49 minutes. Edberg, after fighting off a set point in the 12th game, set up a second when his floating backhander went long. This time Becker hit a backhand cross-court well out of reach.

Becker needed four break points in the ninth game of the second set before taking Edberg's serve, then held at love in the next game for a 6-4 edge.

Edberg broke in the eighth game, but it was sandwiched by breaks of his serve by Becker, who then served out the match, with an ace on match point. . . .

Martina Navratilova won the Nokia Masters tournament, beating Jana Novotna of Czechoslovakia, 6-2, 6-1, in 52 minutes in Essen, Germany. . . .

Fourth-seeded Jonas Svensson of Sweden beat Fabrice Santoro of France, 7-6 (7-5), 6-2, in the Toulouse final. The 17-year, 10-month old Santoro was the youngest finalist in a Grand Prix event this year. He beat French Open winner, Andres Gomez of Ecuador, No. 5 in the world, in the first round.