Just think of the notorious notice outside a Shanghai Park in the former British Concession: "No Chinese and dogs allowed!"

It still hangs there today. A constant reminder how the other world will kick your ass if you remain backward...

As to Tibet, few people know or acknowledge it fell under the rule from Beijing since the Mongolians invaded. Mao just changed the rule of non-military governing. Have a look at the current Map of Taiwan (Republic of China) and you will see it was on Chinese map since 1911.