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Athletes from Russia and Belarus, Moscow's closest ally in the 2022 invasion of Ukraine, are barred from the Games unless they compete as neutrals without flags, anthems and emblems.
Forward Koltsov played for the Belarus national team in the 2002 and 2010 Winter Olympics and spent parts of three seasons with the National Hockey League's Pittsburgh Penguins from 2002 and 2006.
Russians and Belarusians were banned from competing internationally following Russia's invasion of Ukraine in 2022, for which Belarus has been used as a staging ground.
Sabalenka powered into the second round with a 6-3, 6-2 win over Ukraine's Marta Kostyuk, but was left perplexed by the taunts from a section the crowd.
The 24-year-old said she kept away from the internet as much as possible to avoid reading negative comments.
Rights groups say his arrest and subsequent sentence are politically motivated.
The Asian Games are Olympic qualifiers and the move could help athletes from the two countries compete at Paris 2024.
The 33-year-old Belarusian twice champion has worn shirts showing support for French soccer champions PSG at the tournament and as a gesture to her six-year-old son Leo, who is also a big fan of the Paris club.
Herasimenia, a three-time Olympic medallist, was among the elite athletes who fled Belarus in the wake of a crackdown against those who protested what they said was the fraudulent re-election of Alexander Lukashenko in August, 2020.
The move by the All England Lawn Tennis Club is the first time players have been banned on grounds of nationality since the immediate post-World War Two era.