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America had suffered the worst-ever foreign-inflicted atrocity on its soil. Nearly 3,000 civilians had been killed. The armed conflict against al-Qaeda was a new kind of war that required new rules. The Guantánamo detainees were brutal killers, “evil men”. America had a right to protect itself. All true, but was it worth the cost of losing allies and making even more enemies? For the past year or so, the tone coming out of Washington, DC, has been getting noticeably softer. The most flagrant abuses appear to have stopped.

In part this is because of its obsession with seeking new talent, and its ruthlessness in turfing out established figures to keep its line-up of ministers and MPs fresh. Over a quarter of its candidates are new this time around; a similar proportion were new at the previous election, in 2001. Sinapan Samydorai of the Think Centre, a group promoting political openness, says the PAP is also expert in co-opting any bright spark who might otherwise become a critic. For example, he says, Raymond Lim, now a cabinet minister, once belonged to the Roundtable, an extinct political club that briefly looked like a nucleus of opposition.

After Australia's 14 years of uninterrupted economic growth, the government's coffers are awash with revenue earned largely from China's insatiable demand for the country's coal and iron ore. Mr Costello himself has grown rather impatient with producing budgets (this was his 11th).

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An extension of Alexander duality theorem by Brown A.B.

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