The case of Taiwan is even more confusing. A world globe I have from a decade ago, commercially published by a private business corporation rather than officially published, shows Taiwan and the mainland territories of China in the same color. (Usually this globe distinguishes different countries by different colors.) However, the globe also marks the location of both Beijing and Taipei (so spelled) with a star symbol indicating a capital city, suggesting that Taipei is the seat of a national government. United States law under the Taiwan Relations Act strikes a delicate balance between agreeing with the original assertion of both the P.R.C. and R.O.C. regimes that there is one China and Taiwan is a part of China and the current facts on the ground that China (the P.R.C.) and Taiwan (the island of Taiwan and various outlying islands, including some that historically were part of Fujian Province) are under distinct national administrations.
The Wikipedia article on Taiwan independence
http://en.wikipedia.org/wiki/Taiwan_independence
seems to have enjoyed some good editing back-and-forth so that it is not entirely slanted to one point of view or another.