Alize Cornet survived stifling heat to outlast former world No. 1 Simona Halep 6-4, 3-6, 6-4 in a battle of attrition at the Australian Open on Monday to advance to her first Grand Slam quarterfinal, where she will meet Danielle Collins.

Earlier in the day, Collins became the third American woman — after Madison Keys and Jessica Pegula — to reach the quarters of this year’s Australian Open after rallying past Elise Mertens 4-6, 6-4, 6-4.

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