Continuous Fraisse Conjecture

Beckmann, Arnold; Goldstern, Martin; Preining, Norbert

Continuous Fraisse Conjecture

Authors

Beckmann, Arnold

Goldstern, Martin

Preining, Norbert

Description

We investigate the relation of countable closed subsets of the reals with respect to continuous monotone embeddability; we show that there are exactly aleph_1 many equivalence classes with respect to this embeddability relation. This is an extension of Laver's 1971 result, who considered (plain) embeddability, which yields coarser equivalence classes. Using this result we show that there are only countably many different Godel logics.
18 pages, LaTeX2e