Thirty-six year old Marie Low died in Ninewells Hospital after an incident in the city's Ballantrae Terrace.
She was found with serious injuries at about 14:55 on Sunday.
A 30-year-old is expected to appear at Dundee Sheriff Court on Tuesday. Police Scotland said there would be a continued police presence in the area. Tributes have been paid online to Miss Low by friends and family.
Her daughter, Shanice Low, wrote on Facebook: "R.I.P mummy I love you millions I can't believe your gone. I'm going to make you proud love you loads mummy."
Her brother, Kevin Low, added: "Love you sis - gone but never forgotten."
Several other friends have changed their profile photos on social media to images of Marie.
Her sister, Denise Low, said: "It was our dad's birthday yesterday - we can't believe this has happened.
"My sister was strong and beautiful and will be sorely missed by us all.
"She was one of the best people I knew.
"She was a very, very strong woman. She always looked great."
One friend has also started a crowdfunding page.
A woman has been charged following the death of another woman in Dundee.