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Continuous Fraïssé Conjecture

Arnold Beckmann Orcid Logo, Martin Goldstern, Norbert Preining

Order, Volume: 25, Issue: 4, Pages: 281 - 298

Swansea University Author: Arnold Beckmann Orcid Logo

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DOI (Published version): 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 ℵ_1 many equivalence classes with respect to this embeddability relation. This is an extension of Laver's result, who considered (plain) embeddabili...

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Published in: Order
ISSN: 0167-8094 1572-9273
Published: 2008
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URI: https://cronfa.swan.ac.uk/Record/cronfa134
Abstract: We investigate the relation of countable closed linear orderings with respect to continuous monotone embeddability and show that there are exactly ℵ_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 ℵ_0 many different Gödel logics.
College: Faculty of Science and Engineering
Issue: 4
Start Page: 281
End Page: 298

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