The thrilling clash saw VAR award Spurs what proved to be the decisive goal from Fernando Llorente in the second half, despite replays suggesting the ball had brushed his arm.
Is Pep Guardiola a fraud?
Pochettino said he was not ready to review the two controversial decisions that took Spurs into the last four of the European Cup for the first time in 57 years.
The drama and VAR interventions were not just restricted to the closing moments in what was a classic encounter.
City took a fourth minute lead through a attractive curling shot from Sterling but Spurs struck back with two quick goals from Son Heung-min - the second of them a magnificent finish.
If neither side slips up, Pep Guardiola's side will prevail by 98 points to 97 in a remarkable title race.
'The Conjuring' paranormal investigator Lorraine Warren dies at 92
The Warrens were among the first investigators to examine the house at the center of the Amityville haunting. Because, you can look at people but I can look further, and I love that. "Thank you and God bless you all".
Notre Dame's bees sleep through cathedral blaze
French President Emmanuel Macron met Friday with officials from the United Nations' cultural agency, UNESCO . It places him at a level equivalent to last September, before the yellow vest crisis, BVA said.
Amazon China to shut down its online store by July 18
Amazon is still expanding aggressively in other countries, notably India, where it is contending with local rival Flipkart. But in a sign of Tmall's dominance, Amazon nevertheless opened an online store on the Alibaba site in 2015.
But the pendulum swung again as Fernando Llorente bundled home to force the balance back into the north Londoners' favour.
Luckily for Trippier, his side managed to see out the tie, despite Sterling scoring in added time.
The VAR call was correct and the Premier League champions were out - to the delight of Pochettino and his players who celebrated wildly in front of the travelling Spurs support. "Sometimes you are annoyed with VAR but today it is a case of, 'Thank you and good decision'".
Jurgen Klopp's men appear to have the kinder run-in, with City travelling to Old Trafford for a Manchester derby after completing their Spurs trilogy. Tottenham had survived a sustained period of pressure before securing back-to-back corners, the second of which led to Llorente's goal. The Champions League, the biggest prize of all, continues to elude City's owner, Sheikh Mansour bin Zayed al Nahyan.
Son, who also scored last week's victor against City, is suspended for the first leg of the semi-final against Ajax after getting another booking.
Spurs are now 4/1 to win the Champions League this season with most bookmakers. "The mentality of the team, even after going behind, was unbelievable".
"The assistant referee was right in keeping his flag down and waiting for the review, as he may have thought Spurs midfielder Christian Eriksen played the ball straight to Aguero". 'Today my feeling is the same: when it is for you, you need to accept.