Fixed points of continuous DCPOs
Abstract In this article we show that for a continuous DCPO D, the set of fixed points of every self-map is a continuous DCPO if and only if x<y implies x is way below y. We also prove that some classes of continuous functions have the property that if a self-map on a DCPO is in the class then th...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Jordan, Francis [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC 2012 |
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| Übergeordnetes Werk: |
Enthalten in: Semigroup forum - Springer-Verlag, 1970, 84(2012), 3 vom: 01. März, Seite 505-514 |
|---|---|
| Übergeordnetes Werk: |
volume:84 ; year:2012 ; number:3 ; day:01 ; month:03 ; pages:505-514 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00233-012-9376-4 |
|---|
| Katalog-ID: |
OLC2044758652 |
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Abstract In this article we show that for a continuous DCPO D, the set of fixed points of every self-map is a continuous DCPO if and only if x<y implies x is way below y. We also prove that some classes of continuous functions have the property that if a self-map on a DCPO is in the class then the set of fixed points is a continuous DCPO. We also investigate when the set of fixed points is a retract. © Springer Science+Business Media, LLC 2012 |
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