Territorial Trademark Application
In principle, trademark registration is territorial. That is, in order to be protected in a particular country one must register the trademark in it.
There are also territories that are federation figures, such as the United States of America and EU countries, where one trademark application can be filed that will apply to all member states. Thus, some choose to try to file a trademark application in Cyprus, Israel, Korea and China, or file a European trademark application or a US trademark application.