NEW YORK–Two-time champion Naomi Osaka survived a second-set swoon to beat Katerina Siniakova 6-2, 5-7, 6-1 on Thursday and reach the third round of the US Open. Naomi Osaka recovered after a mid-match lapse to advance to the third round of the U.S. Key points and original sources are listed below.

• NEW YORK–Two-time champion Naomi Osaka survived a second-set swoon to beat Katerina Siniakova 6-2, 5-7, 6-1 on Thursday and reach the third round of the US Open. The Japanese 13th seed looked in total control against her Czech opponent, racing through the firs...S1

• Naomi Osaka recovered after a mid-match lapse to advance to the third round of the U.S. Open on Thursday with a 6-2, 5-7, 6-1 victory over Katerina Siniakova.S2

• There were wins for former US Open champions Naomi Osaka and Iga Swiatek on Thursday while fellow major winner Madison Keys saved five match points to win a thrillerS3