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Sep 23, 2021 at 8:09 comment added Manuel Bärenz > It would also be nice if there were versions of the Pachner move theorem for cobordisms. I'm a bit surprised by this. The Pachner theorem comes from looking at specific triangulations of cylinders, so restricting bordisms to those that induce PL homeomorphisms on the boundaries. If you want to remove that restriction, you don't really have Pachner's theory anymore, but simply triangulated bordisms. I don't know what else you'd expect there.
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