On the equivalence of certain coincidence theorems and fixed point theorems
T. Muenzenherger, R. Smithson (1974)
Fundamenta Mathematicae
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Displaying similar documents to “Multi-valued functions and partial order”
On the equivalence of certain coincidence theorems and fixed point theorems
A Link Between Ordered Sets And Trees On The Rectangle Tree Hypothesis
Đuro Kurepa (1982)
Publications de l'Institut Mathématique
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Note on a theorem of J. Baumgartner
Keith Devlin (1972)
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Reduced powers of -trees
Keith Devlin (1983)
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Wide tree-like spaces have a fixed point
John Jobe (1975)
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Mark Dwyer, Fred R. McMorris, Robert C. Powers (1999)
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Work of Vincke and Bouyssou showed that if aggregation procedures on weak orders are allowed to return more than one result, then it might be possible for a procedure to satisfy all the axioms of Arrow's Theorem yet not be dictatorial. This approach is extended from ordered sets to n-trees, which are set-systems used in classifications theory. Results in this context can differ from those of Vincke and Bouyssou.
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