THE SIMPLEST LOW LINEAR ORDER WITH NO COMPUTABLE COPIES

Author:

FROLOV ANDREYORCID,ZUBKOV MAXIMORCID

Abstract

Abstract A low linear order with no computable copy constructed by C. Jockusch and R. Soare has Hausdorff rank equal to $2$ . In this regard, the question arises, how simple can be a low linear order with no computable copy from the point of view of the linear order type? The main result of this work is an example of a low strong $\eta $ -representation with no computable copy that is the simplest possible example.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference24 articles.

1. [19] Turetsky, D. , Downey, R. G. , and Kach, A. M. , Limitwise monotonic functions and their applications , Proceedings of the 11th Asian Logic Conference ( Arai, T. , Feng, Q. , Kim, B. , Wu, G. , and Yang, Y. , editors), World Scientific, Singapore, 2012, pp. 59–85.

2. Cuts of linear orders;Montalbán;Order,2011

3. [20] Turetsky, D. and Kach, A. M. , Limitwise monotonic functions, sets and degrees on computable domains, this Journal, vol. 75 (2010), pp. 131–154.

4. A theorem on strongly η-representable sets

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