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Hausdorff manifold

freddofrog

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does this manifold have cobordism ?

760278c4-c530-1031-b743-4c3114d2dee3r.jpg
 
Cliffordski said:
It should do because the chambers are differentiable.
that's what I thought, but I'm not sure on the strength of the neighbourhoods ?
 
possibly, but I can't see if there are disjoint neighbourhoods with a partition of unity
 
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