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Continuous Fraïssé Conjecture

File: PDF-File

Author: Arnold Beckmann, Martin Goldstern and Norbert Preining
Title: Continuous Fraïssé Conjecture
Journal: Order 2008, 25: 281-298
DOI: 10.1007/s11083-008-9094-4

Abstract: We investigate the relation of countable closed linear orderings with respect to continuous monotone embeddability and show that there are exactly 1 many equivalence classes with respect to this embeddability relation. This is an extension of Laver's result, who considered (plain) embeddability, which yields coarser equivalence classes. Using this result we show that there are only 0 many different Gödel logics.

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