A retract characterization of posets with the fixed-point property
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It has been an open problem to characterize posets P with the property that every order-preserving map on P has a fixed point. We give a characterization of such posets in terms of their retracts.
[1] Dwight Duffus,et al. Retracts and the Fixed Point Problem for Finite Partially Ordered Sets , 1980, Canadian Mathematical Bulletin.
[2] Richard J. Nowakowski,et al. Fixed-edge theorem for graphs with loops , 1979, J. Graph Theory.
[3] Ivan Rival,et al. A Fixed Point Theorem for Finite Partially Ordered Sets , 1976, J. Comb. Theory, Ser. A.
[4] Ivan Rival. The Problem of Fixed Points in Ordered Sets , 1980 .