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choice classes
Author(s) -
Çevik Ahmet
Publication year - 2016
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.201500055
Subject(s) - class (philosophy) , cardinality (data modeling) , mathematics , degree (music) , construct (python library) , turing , mathematical economics , work (physics) , new class , computer science , artificial intelligence , data mining , physics , acoustics , economics , market economy , programming language , mechanical engineering , engineering
We study the degree spectrum properties of so called Π 1 0 choice classes. A Π 1 0 choice class is a Π 1 0 class in which no two members have the same Turing degree. This definition leads us to some interesting cardinality properties, basis results and technically innovative constructions which might give us an insight to construct new Π 1 0 classes. The presented work can be considered as Π 1 0 choice class analogue of the work by Kent and Lewis [15][T. Kent, 2010].