No, it was a temple.
The Greeks didn't live on the Acropolis because that was where the Gods lived. The Acropolis is a temple above the city of Athens.
acropolis
The acropolis was a defensive fort to which the people could retire and defend when under attack by nomads or other Greek cities.
The Ionian-Greeks who settled in the region first built a fort as a refuge on the Acropolis. As the people developed they began to build around the fortress and it developed into a city which was itself walled for defence.
Initially the defensive hill-fort of a city, then expanding to temples and treasury.
The acropolis (= high city) was the fort and refuge in a city. As the city grew up around it, it housed temples which were also used as treasuries.
A nomadic tribe would settle on some arable land and build a defensive refuge fort on a hill (acropolis). As the population expanded, houses would cluster around the acropolis and eventually develop into a city. As they wanted to remain independent, they avoided amalgamating with neighbourig settlements and the town and its agricultural land became city-states.
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It was the fort of a city. Temples were built on it. The treasury was located there under protection of the city patron god.
A tract of arable land able to support a population, a high point with a defensive fort (acropolis) as a refuge i attacked, a reliable source of water and fish, and and a city which grows up around the acropolis.
Ancient Discoveries - 2003 Ancient Mega-Fort 6-3 was released on: USA: 4 December 2009
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