Universality of Embeddability Relations for Coloured Total Orders
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Some examples of Σ11-universal preorders are presented, in the form of various relations of embeddability between countable coloured total orders. As an application, strengthening a theorem of (Marcone, A. and Rosendal, C.: The Complexity of Continuous Embeddability between Dendrites, J. Symb. Log.69 (2004), 663–673), the Σ11-universality of continuous embeddability for dendrites whose branch points have order 3 is obtained.
Mathematics Subject Classification (2000)03E15 06A05
Key Wordscoloured total order Borel reducibility Σ11-universality dendrite
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- 2.Hjorth, G.: Classification and Orbit Equivalence Relations, American Mathematical Society 2000.Google Scholar
- 3.Kechris, A. S.: Classical Descriptive Set Theory, Springer, 1995.Google Scholar
- 8.Nadler Jr., S. B.: Continuum Theory, Dekker, 1992.Google Scholar
- 9.Rosenstein, J. G.: Linear Orderings, Academic Press, 1982.Google Scholar