Are all people who are Czech citizens also EU citizens?

Can EU citizens live and work in the British Virgin Islands?

• I' not sure if the following statement from Wikipedia, if true, means that EU citizens (say, born in Germany) can live and work in the British Virgin islands, or, if it's just that people born in the British Virgin islands, because they are 'deemed to be citizens of the EU' can work in the EU, while people born in the continent can't work in the islands: "Although the territory is not part of the http://en.wikipedia.org/wiki/European_Union and not directly subject to EU law, its citizens are deemed to be citizens of the EU as well.http://en.wikipedia.org/wiki/British_Virgin_Islands#cite_note-6" http://en.wikipedia.org/wiki/British_Virgin_Islands

• Answer:

  If whatever job you are seeking is one that cannot be done by the locals, you can apply for a work permit, but someone needs to sponsor you.