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Digitale Medien

Reflexive domains and fixed points (1985)

Björner, Anders

Springer

Acta applicandae mathematicae 4 (1985), S. 99-100

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Details

ISSN: 1572-9036

Schlagwort(e): 03B99 ; 06A10 ; 54H25 ; Fixed points ; reflexive domains ; retracts ; posets

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract In a recent paper in this journal, J. Soto-Andrade and F. J. Varela draw attention to the fact that ifR is a retract of a reflexive domain in a suitable category thenR has the fixed point property. They suggest [1], pp. 1 and 18, that conversely every structure with the fixed point property is a retract of a reflexive domain. In this note it is shown that ifR is a retract of a reflexive domain thenR R has the fixed point property. This leads to counterexamples to the suggestion of Soto-Andrade and Varela in the categoryPo of partially ordered sets and monotone maps.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02293493

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