the capital of France, on the Seine River; population 2,203,817 (2006). Paris was held by the Romans, who called it Lutetia, and by the Franks, and was established as the capital in 987 under Hugh Capet. It was organized into three parts—the Île de la Cité (an island in the Seine), the Right Bank, and the Left Bank—during the reign of Philippe-Auguste 1180–1223. The city's neoclassical architecture dates from the modernization of the Napoleonic era, which continued under Napoleon III, when the bridges and boulevards of the modern city were built.

Dublin is the capital of, and largest city in, Ireland. It is on the east coast of Ireland, in the province of Leinster, at the mouth of the River Liffey, and is bordered on the south by the Wicklow mountains. It has an urban area population of 1,173,179, while the population of the Dublin Region (formerly County Dublin), as of 2016, was 1,347,359, and the population of the Greater Dublin area was 1,904,806.

There is archaeological debate regarding precisely where Dublin was established by Celtic-speaking people in the 7th century AD. Later expanded as a Viking settlement, the Kingdom of Dublin, the city became Ireland's principal settlement following the Norman invasion. The city expanded rapidly from the 17th century and was briefly the second largest city in the British Empire before the Acts of Union in 1800. Following the partition of Ireland in 1922, Dublin became the capital of the Irish Free State, later renamed Ireland.

Dublin is a historical and contemporary centre for education, the arts, administration and industry. As of 2018 the city was listed by the Globalization and World Cities Research Network (GaWC) as a global city, with a ranking of "Alpha -", which places it amongst the top thirty cities in the world.

Cork is a city in south-west Ireland, in the province of Munster, which had a population of 125,657 in 2016.

The city is on the River Lee which splits into two channels at the western end and divides the city centre into islands. They reconverge at the eastern end where the quays and docks along the river banks lead outwards towards Lough Mahon and Cork Harbour, one of the largest natural harbours in the world.

Expanded by Viking invaders around 915, the city's charter was granted by Prince John, as Lord of Ireland, in 1185. Cork city was once fully walled, and the remnants of the old medieval town centre can be found around South and North Main streets.

The third largest city on the island of Ireland, the city's cognomen of "the rebel city" originates in its support for the Yorkist cause in the Wars of the Roses. Corkonians often refer to the city as "the real capital", a reference to its opposition to the Anglo-Irish Treaty in the Irish Civil War.