One would also not get your interpretation from, say, Wikipedia. Conveniently enough, they have an entire page on Crimea in the post-Soviet era. [1] Quoting that page:
* "With the dissolution of the Soviet Union and Ukrainian independence the majority ethnic Russian Crimean peninsula was reorganized as the Republic of Crimea, after a 1991 referendum with the Crimean authorities pushing for more independence from Ukraine and closer links with Russia. In 1995 the Republic was forcibly abolished by Ukraine with the Autonomous Republic of Crimea established firmly under Ukrainian authority. ..."
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There's an unfortunately (or fortunately for history buffs) large amount of history there. Here are some of the key events. One big one is a Crimean referendum in January 1991, that Wiki is indirectly referencing above. The other one is from December 1991, that the poster above is referencing:
* [2] January 1991: The USSR was still alive, but collapsing. Crimea, under Ukraine, under the USSR voted on reestablishing the Crimean Autonomous Soviet socialist Republic and participating in the New Union Treaty. The New Union Treaty was a failed USSR effort to reconstitute the USSR. In other words Crimea was voting to rejoin the USSR. It passed with 82% turnout and 94% approval.
* [3] March 1991: The first USSR referendum on the New Union Treaty was run. In Ukraine the wording was changed to also include joining the New Union Treaty being contingent upon a Ukrainian declaration of independence. This was more a cynical polling (in Ukraine) since independence and being part of the New Union would have been largely mutually exclusive. But it's important because it sets the stage for...
* [4] December 1st, 1991: The USSR still technically exists, but is in its death throes. Ukraine runs their independence referendum. All of Ukraine, including Crimea, votes yes. But not in the same way. Crimean voters were in a weird position. Thanks to the March referendum, Ukraine has left Crimea in a "heads I win, tails you lose" type scenario. You're supposed to vote yes to rejoin the USSR, but that's increasingly obviously not happening. Voting no makes it legally impossible to rejoin the USSR. 41% of Crimeans do not vote, 37% vote yes, 22% vote no. So "yes" wins. This was most certainly not a vote about joining Ukraine instead of Russia.
* December 8th, 1991: Russian, Belarussian, and Ukrainian leaders secretly meet in Western Belarus. They sign the Belavezha accords, declaring an official death of the Soviet Union.
And that's far from the end, but it's far enough for this little segment of history.
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[1] - https://en.wikipedia.org/wiki/Crimea_in_the_post-Soviet_era_...
[2] - https://en.wikipedia.org/wiki/1991_Crimean_sovereignty_refer...
[3] - https://en.wikipedia.org/wiki/1991_Soviet_Union_referendum
[4] - https://en.wikipedia.org/wiki/1991_Ukrainian_independence_re...