It is consistent that there exists an ordered real closed field which is not hyper-real.
Stojanović, Jadran, Perović, Žikica (1997)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “o-minimality.”
It is consistent that there exists an ordered real closed field which is not hyper-real.
On a property of partially ordered sets.
S. Todorcevic (1978)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Partially Ordered Sets And Some Fixed Point Theorems
Milan R. Tasković (1980)
Publications de l'Institut Mathématique
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Linear extensions of orderings
Vítězslav Novák, Miroslav Novotný (2000)
Czechoslovak Mathematical Journal
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A construction is given which makes it possible to find all linear extensions of a given ordered set and, conversely, to find all orderings on a given set with a prescribed linear extension. Further, dense subsets of ordered sets are studied and a procedure is presented which extends a linear extension constructed on a dense subset to the whole set.
Subfields of lattice-ordered fields that mimic maximal totally ordered subfields
Robert H. Redfield (2001)
Czechoslovak Mathematical Journal
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