Nancy Voon, 65, was allegedly attacked while waiting for her son outside the Panmure YMCA around midday Thursday.
"We have advised the family of the victim of this development a short time ago, and they are understandably relieved to hear this news," said the police spokeswoman
She thanked "the hundreds of people" who helped with the police investigation.
"The public and media assistance we received has got us to this point," she said.
"We had dozens of calls with information, as well as many private messages to our Facebook page. Hundreds of people shared the link to the Facebook video, and this in turn ensured that as many people as possible saw the CCTV footage."