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A comment on Topological Problems in Voting. Parent comment

Re:Topological Problems in Voting by dylwil3 on Saturday June 15, 2024 @07:05PM (#40693357)
Yep, see Eckmann for a generalization and precise characterization: https://core.ac.uk/download/pdf/82385648.pdf
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Re:Topological Problems in Voting by contravariant on Saturday June 15, 2024 @07:55PM (#40693559)
Awesome, always nice to see my mathematical intuition still works. Also an interesting piece of mathematics.

My main takeaway was the following conclusion

> [E]xcept for the contractible case either no social choice function can exist on P, or if it exists for all n then unexpected properties turn up.

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Re:Topological Problems in Voting by ykonstant on Saturday June 15, 2024 @08:54PM (#40693845)
The notion of "space with mean" from that paper seems to be of independent interest; nice.
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