Second city of the United Kingdom

Birmingham has generally been regarded as the second city of the United Kingdom in terms of populace and GDP while Edinburgh has been promoted as the second city by virtue as the capital of Scotland. Less authoratitive claims have been made on behalf of Cardiff and Belfast due to their status as the respective capital cities of Wales and Northern Ireland. Furthermore, a number of opinion polls have been conducted since 2000 and complicate the issue further, with public response showing a consistent view amongst the British population that Manchester is the second city. It should be noted that Birmingham is technically the United Kingdom's most populous city; the City of London has fewer than 10,000 inhabitants, and Greater London is not recognized as a city.

Question: is birmingham the 2nd largest city in uk
Answer: yes