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The Fixed Point Property for Posets of Small Width |
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| Authors: | Jonathan David Farley |
| Affiliation: | (1) Department of Mathematics, Vanderbilt University, Nashville, Tennessee, 37240, U.S.A.;(2) Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California, 94720, U.S.A |
| Abstract: | The fixed point property for finite posets of width 3 and 4 is studied in terms of forbidden retracts. The ranked forbidden retracts for width 3 and 4 are determined explicitly. The ranked forbidden retracts for the width 3 case that are linearly indecomposable are examined to see which are minimal automorphic. Part of a problem of Niederle from 1989 is thus solved. |
| Keywords: | (partially) ordered set fixed point property retract minimal automorphic |
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