• Second seeded Kazakh comes from set down to win 3-6, 6-4, 6-4

• Sabalenka awaits in title decider after blitzing Jessica Pegula

One set may have already passed in her first US Open semi-final, but Elena Rybakina still had not arrived inside Arthur Ashe Stadium. While an inspired Coco Gauff blew through the first stanza covering every inch of the acrylic surface as their 22,000-strong audience screamed for the Kazakhstani’s blood, Rybakina was wild and erratic from the baseline and her peerless serve was nowhere to be seen.

Nobody reaches the summit of professional without being able to problem-solve through difficult days on courtthough, and Rybakina gave a brilliant showcase of the underrated toughness at the heart of her success as she coolly recovered from a set down to overpower Gauff and seal her spot in her first US Open final with a 3-6, 6-4, 6-4 win.

Veteran Frenchman bowed out in New York but the clash of two black players in the last four of the men’s singles is testament to his effect

The early days of this year’s US Open can be told in a series of farewells to competitors who plan to end their careers this year. The most moving of them all came in the form of Gaël Monfils’s grand departure inside Louis Armstrong Stadium against the wildly talented 20-year-old Learner Tien. Tien was competing in front of his home crowd, one of the Americans capable of a deep run, but for much of his straight-sets defeat the Frenchman had the American crowd in the palm of his hands.

Beyond the massive popularity he has garnered among tennis fans, one of the most striking parts of Monfils’s long farewell was seeing how highly nearly all of his fellow professionals, particularly his fellow black players, regard him. Frances Tiafoe says he spent his youth looking up to Monfils. Arthur Fils considers Monfils his older brother. Naomi Osaka’s nickname for Monfils, one of her idols, is simply “the Goat”. They all hold Monfils in such great esteem, and for good reason.

• Winner claims 6-7 (5), 6-1, 6-3, 1-6, 7-6 (7) victory

• Epic quarter-final ends after 3.30am in New York

As the official 10th day of play in New York moved deeper into the remote hours of the new morning, every passing game imbued Carlos Alcaraz with greater despair. From his focused start, Alcaraz’s intensity had flatlined and he could barely put a ball in court. He lost nine consecutive games against Ben Shelton and seemed to have nothing left.

Instead, the defending champion improbably dragged himself back into a contest that soon developed into one of the most remarkable matches of the year. The latest attempt by Alcaraz, the second seed, at orchestrating a monumental comeback was denied by a brave, defiant Shelton, the eighth seed, who refused to be shaken by his legendary rival or the looming prospect of securing the greatest win of career.

• Reigning champion beats Tommy Paul in straight sets

• Sabalenka and Noskova to clash in last eight

The straightforward scoreline at the end of Carlos Alcaraz’s third-round win over Wu Yibing did not quite reflect the Spaniard’s slight irritation with one aspect of his game. Alcaraz felt he had missed a few too many forehands, and almost immediately after departing Arthur Ashe Stadium, he reappeared on the practice court pounding forehands in the afternoon heat.

Two days later, the extra care Alcaraz put into his game was reflected in a statement performance driven by his peerless forehand as he rose to the occasion in the biggest challenge of his comeback so far, dismantling the 20th seed Tommy Paul 6-4, 6-3, 6-4 to continue his title defence by returning to the quarter-finals of the US Open.

• Argentinian beats No 9 seed 3-6, 4-6, 6-3, 6-4, 6-4

• Fritz had three break points for chance to serve for match

As his last, desperate backhand soared far past the baseline inside Arthur Ashe Stadium, Taylor Fritz instantly held his face in his hands, unable to hide the agony of squandering such a great opportunity.

For much of his afternoon, Fritz was cruising. He had established a two set against Francisco Cerúndolo before breaking serve in the opening game of the third. One unfocused service game was enough to shift the momentum and once Fritz had lost control, he spent another two hours failing to retrieve it. His US Open ended with an excruciating 3-6, 4-6, 6-3, 6-4, 6-4 third-round defeat by a courageous Cerúndolo.

• American duo lose 6-3, 6-7(6), 7-6(7) to Maya Joint and Chan Hao-ching

• Serena and Venus crash out of women’s doubles in first round

In the end, after so much toil and admirable fight, defeat came swiftly for one of the greatest doubles teams to ever share a tennis court. Upon their return to prime time in New York, Venus and Serena Williams fought desperately to overturn the various deficits they found themselves in over three hours inside a thunderous Arthur Ashe Stadium.

They came close. The Williams sisters had clawed their way back into the match after trailing a 1-4 in their final set against Chan Hao-ching and Maya Joint, and they established a 5-0 lead in the third set tie-break. Just as they appeared to be on the verge of victory, they were brushed aside, losing 6-3, 6-7 (6), 7-6 (7) in the first round of the US Open.

• ‘It’s tricky to handle when you’re trying to compete’

• Alcaraz into fourth round after straight sets victory

Aryna Sabalenka briefly stopped her match at the US Open to complain about the strong smell of cannabis on her court as she comfortably reached the fourth round in New York.

Sabalenka, the two-time defending champion, continued her attempts to rebuild her form as she overcame a challenging test from Kamilla Rakhimova before winning 6-3, 6-4.

Jeering and heckling are increasingly commonplace, even at grand slams, as spectators try to influence matches

Midway through the first week of the US Open a couple of years ago, Jiri Lehecka’s attempts to find his form were disrupted by incessant taunting from a spectator close by. “There was a guy who sat just behind my bench on a smaller court, court four, and he was talking to me basically for the first three sets, like non-stop,” Lehecka says. “He was talking to me like: ‘You can’t do it. You are tired. He’s better than you are.’”

Lehecka maintained his composure and closed out the match, but even as he focused on navigating the intense stress of competition, he believed he understood this spectator’s motivations. The spectator, he thinks, was not there just to cheer for his favourite player: he was a bettor who had put money on Lehecka to lose. He had entered court four solely to influence the outcome of the match.

• British Wimbledon semi-finalist loses 6-3, 6-3, 7-5

• Elena Rybakina into second round with 6-3, 6-2 win

Six weeks on from the fortnight that changed his life, Arthur Fery’s first grand slam appearance since his semi-final run at Wimbledon came under considerably different circumstances. He is now the 33rd best men’s player in the world, a direct entrant for all of the biggest tournaments, and he has continued to gain experience at the highest level of professional tennis each week.

As a result of his continued exposure on the tour, though, Fery’s adversaries have also learned a bit more about him. In his first main draw appearance at the US Open, Fery came up against a prepared and sharp Lorenzo Musetti, who knew exactly how to exploit the vulnerable parts of his game in order to secure a win. The Italian comprehensively outplayed the British No 1, reaching the second round with a comfortable 6-3, 6-3, 7-5 victory.

• Serb hopes to take advantage of wide-open men’s draw

• Elena Rybakina has eyes on No 1 world ranking

Novak Djokovic said he was as prepared as he could be for the US Open as he attempts to take advantage of the wide-open men’s draw and battle for a potential 25th grand slam title.

Djokovic arrived in New York having competed only once after his semi-final run at Wimbledon, losing in his opening match of the Cincinnati Open to Thiago Agustín Tirante while struggling with the humidity. However, he now sees the silver lining in that defeat, which he believes gave him the time to make sure he was in optimal shape for the US Open. “I don’t like early losses anywhere, to be honest, but it gave me time to be prepared for US Open in a most adequate way,” he said. “I had almost a few weeks, actually two weeks, to really train and get my body and mind into the right state, prepared for what’s coming up.