The Ukrainian President, Viktor Yushchenko, has said that a co-ordination council will be set up with Poland.
The third layer is the political rivalry within Ukraine between Ms Tymoshenko and the president, Viktor Yushchenko.
Former president and one-time ally Viktor Yushchenko and others have testified against her in the court case.
The "dream ticket" alliance of Viktor Yushchenko and Yulia Tymoshenko seems resolutely dead.
Ms Tymoshenko's main rivalry is not with Mr Yanukovich at all, but rather with her erstwhile orange-revolution ally, President Viktor Yushchenko.
ECONOMIST: As Ukraine��s politicians bicker, the economy slides
In that Viktor Yushchenko joins a small but revered group that includes British Prime Minister Tony Blair and Afghanistan President Hamid Karzai.
There has been bitter acrimony between President Viktor Yushchenko and Prime Minister Yulia Tymoshenko who've accused each other of treason and corruption.
The governing coalition has collapsed after a row between Viktor Yushchenko, the president, and his former ally, Yulia Tymoshenko, the prime minister.
But Mr Milinkevic could not claim that he had won the vote, as Viktor Yushchenko, now Ukraine's president, did in last winter's stand-off in Kiev.
ECONOMIST: Another meaningless victory for the president of Belarus
Ms Tymoshenko said Russia could not come to terms with the fact that a new President, Viktor Yushchenko, and a new government had come to power in Ukraine.
President Viktor Yushchenko has called the privatization a theft and pledged to return the vast mill to Kiev's control, so it could be sold again in a transparent offer.
After the resignation of key officials amid a corruption scandal, Ukraine's president, Viktor Yushchenko, dismissed the government of Yulia Timoshenko and asked Yuri Yekhanurov, a regional governor, to become prime minster.
The decent central-bank governor, Viktor Yushchenko, is backing him.
It is a bitter reversal for Tymoshenko since the Orange Revolution days, when she and her ally Viktor Yushchenko packed the streets of Ukraine in protest at a rigged election that went in favour of the pro-Russian Mr Yanukovych.
In addition Ukraine's political system has been paralysed by infighting and bickering, with once allies President Viktor Yushchenko and Prime Minister Yulia Tymoshenko -- known as the "Gas Princess" due to her previous business dealings -- falling out.
There's plenty stirring in Eastern Europe's steel markets: Yesterday a Ukrainian court seized control of billionaire Viktor Pinchuk's Nikopol Ferroalloy Plant and froze any shareholder activity, at the behest of that country's president, Viktor Yushchenko, (see "Ukrainian Billionaire Stripped Of Another Asset").
The recent ripple of protest in Poland when Ukraine's outgoing president, Viktor Yushchenko, made the wartime nationalist leader Stepan Bandera a "Hero of Ukraine" was interesting not because it exemplified the two countries' rows over history, but because it came after years in which they had sorted out so much.
In a turnaround startling even by the standards of Ukrainian politics, Mr Yushchenko is flirting with supporters of his opponent in last year's presidential vote, Viktor Yanukovich.
ECONOMIST: The dream of a democratic, non-corrupt Ukraine may die
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