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Retracts and the Fixed Point Problem for Finite Partially Ordered Sets

Published online by Cambridge University Press:  20 November 2018

Dwight Duffus ,
Werner Poguntke  and
Ivan Rival
Dwight Duffus
Affiliation:
Department of Mathematics and Statistics the University of Calgary Calgary, AlbertaT2N 1N4
Werner Poguntke
Affiliation:
Department of Mathematics and Statistics the University of Calgary Calgary, AlbertaT2N 1N4
Ivan Rival
Affiliation:
Technische Hochschule Darmstadt Sarmstadt, Federal Republic of Germany
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Extract

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A partially ordered set P has the fixed point property if every orderpreserving mapping f of P to P has a fixed point, that is, f(a) = a for some aϵP; call P fixed point free if P does not have the fixed point property.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 2 , 01 June 1980 , pp. 231 - 236
Copyright
Copyright © Canadian Mathematical Society 1980

References

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