arnold beckmann's pages
Continuous Fraïssé Conjecture
Author: Arnold Beckmann, Martin Goldstern and Norbert Preining
Title: Continuous Fraïssé Conjecture
Journal: Order 2008, 25: 281-298
We investigate the relation of countable closed
linear orderings with respect to continuous monotone
embeddability and show that there are exactly
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
many different Gödel logics.