Cores and retracts |
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| Authors: | Michael S. Roddy |
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| Affiliation: | (1) Department of Mathematics and Computer Science, Brandon University, P7A 6A9 Brandon, Manitoba, Canada |
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| Abstract: | Theretracts (idempotent, isotone self-maps) of an ordered set are naturally ordered as functions. In this note we characterize the possible ways that one retract can cover another one. This gives some insight into the structure of the ordered set of retracts and leads to a natural generalization of the core of an ordered set.Supported by NSERC Operating Grant 41702. |
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| Keywords: | 06A06 |
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