The phrase "achieve hegemony" is correct and usable in written English.
It is often used to refer to a situation in which one country, party, organization, or other entity has control or influence over another. For example: "As a result of their victory, the political party achieved hegemony in the region."
As John retreated and his coalition collapsed, there could be no doubt that Capetian France had achieved hegemony in Christian Europe.
(Fantasy and science fiction have also risen mightily, if not to the point of achieving hegemony, but they lie outside Anderson's purview).
It's also true that pigs were still raised on farms, most vegetables were seasonal and hyperprocessed junk hadn't yet achieved hegemony.
"The U.S. has gone to great lengths to be the dominant power on the earth, first by achieving hegemony in its own region and then by preventing the rise of a peer competitor in other regions like Asia and Europe".
Originally containing the entire Old Testament in about 380 folios, of which 294 are extant, the Aleppo Codex remains the only known true representative of Aaron ben Asher's text and the most important witness to that particular Masoretic tradition that achieved hegemony throughout Jewry.
Another military historian, Gary Sheffield, says that "most modern scholarship" agrees that Britain's war aims in 1914 were the same as in 1939: "to prevent an authoritarian, militarist, expansionist enemy achieving hegemony in Europe … If the allies had lost", he says, "it would have meant the end of liberal democracy on mainland Europe".
The broader profile this implies is outlined in Figure 2 below, which uses the size of triangles and L's to indicate the sense in which one or another triangle achieves hegemony in the social sciences, or becomes more fashionable in the humanities.
But generally the United States will invite fewer threats if, rather than attempting to achieve military hegemony, it employs economic, political and law-enforcement tools.
Articles on the Chinese-language Web site of The Global Times asserted that the United States employs the Internet as a weapon to achieve worldwide hegemony.
He has a deeper concern: he challenges the notion that the United States, or any single power, can achieve global hegemony for any length of time.
