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Workers at Anglo American Platinum refused to go underground on Tuesday night after their employer warned it would axe 14 000 jobs in a major restructuring of its operations.
Workers' representative Gaddhafi Mdoda said strikers would try to meet the company's management on Wednesday.
Months after being swept up in a deadly mining strike, Amplats announced on Tuesday that it planned to close 4 shafts and sell a mine considered unsustainable.
The vast majority of job cuts, 13 000 in all, would be lost around Rustenburg.