A combinatorial proof of a fixed point property

J. Comb. Theory, Ser. A, pp. 994-1013, 2012.

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Keywords:
fixed point theoryfinite truncated noncomplemented latticefinite pseudo conefinite dismantlablefixed point propertyMore(7+)

Abstract:

A class of finite simplicial complexes, called pseudo cones, is developed that has a number of useful combinatorial properties. A partially ordered set is a pseudo cone if its order complex is a pseudo cone. Pseudo cones can be constructed from other pseudo cones in a number of ways. Pseudo cone ordered sets include finite dismantlable or...More

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