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Continuous Fraïssé Conjecture / Arnold Beckmann; Martin Goldstern; Norbert Preining

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

Swansea University Author: Arnold, Beckmann

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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
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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: College of Science
Issue: 4
Start Page: 281
End Page: 298