A Greek city was once a polis.
A short history of the ancient Greek polis, thanks to Wikipedia.com:
The bounds of the ancient polis often centred around a citadel, called the acropolis, and would of necessity also have an agora (market) and typically one or more temples and a gymnasium. Note that many of a polis’ citizens would have lived in the suburbs or countryside. The Greeks did not regard the polis as a territorial grouping so much as a religious and political association: while the polis would control territory and colonies beyond the city itself, the polis would not simply consist of a geographical area.
Each city was composed of several tribes or demes, which were in turn composed of phratries and finally gentes. Metics (resident foreigners) and slaves lay outside this organization. Birth typically determined citizenship. Each polis would also worship a number of patron deities for protection and kept its own particular festivals and customs.
In the East beyond Asia Minor a major instrument of hellenization by Alexander the Great was the polis. He is said to have founded no less than seventy cities, destined to become centres of Greek influence; and the great majority of these were in lands in which city-life was almost unknown. In this respect his example was emulated by his successors, the diadochi.
More about polis-life in Ancient Greece at the BBC website.


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