Did the end of the Cold War mark the beginning of the long 21st

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Did the end of the Cold War mark the beginning of the long 21st century?

For comparison:
>The long nineteenth century, as defined by Eric Hobsbawm, a British Marxist historian and author, was the period between the years 1789 and 1914.
>The short 20th century, originally proposed by Iván Berend (Hungarian Academy of Sciences) but defined by Eric Hobsbawm,[1] a British Marxist historian and author, refers to the period between the years 1914 and 1991.