Topological social choice model
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Date
2011-08-12
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Abstract
This thesis extensively discusses the results of Chichinisky[2] and Eckmann[4] in a self-contained way through the use of spaces of n - mean, groups with means and H-space
The main goal of this thesis is to show that
1. If a space P which is a finite polyhedral or C W-complex has an n-mean (choice function) for some n £ 2 then P is contractible.
2. If a non-contractible space P has an n-mean (choice function) for all n £ 2, then P is homotopy equivalent to an infinite product of rational Eilernberg- MacLane space
P^Y\K(0,kr)
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These results which are found in a paper by Weinberger [8] extend earlier well-known results of Chichilnisky and Heal [3].