Multiple Points of Coincidence
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Up until now, we have been considering spaces with ℤ2-actions and theorems saying that under suitable conditions, there exist points x and y with disjoint supports that are mapped to the same point. Here we generalize these considerations to spaces with actions of other groups, most notably the groups ℤp. We obtain theorems in which the images of some p points with disjoint supports are guaranteed to coincide. These are the right tool for dividing a necklace among p thieves and for some other problems.
KeywordsSimplicial Complex Multiple Point Cyclic Shift Homotopy Equivalent Lefschetz Number
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