What was the condition which Joab set forth to the woman whereby he and the men of Judah would withdraw from the city?

The condition which Joab set forth to the woman was that if the city would give Sheba up to them, they would withdraw from the city.

How did the people of the city and the woman respond to Joab's condition?

The people of the city cut off the head of Sheba and threw it over the wall to Joab just as the woman had declared they would do.