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- W788412093 abstract "Ordered abelian groups are studied from the viewpoint of computability theory. In particular, we examine the possible complexity of orders on a computable abelian group. The space of orders on such a group may be represented in a natural way as a Π1 class, but not all Π 0 1 classes can occur in this way. We describe the connection between the complexity of a basis for a group and an order for the group, and completely characterize the degree spectra of the set of bases for a group. We describe some restrictions on the possible degree spectra of the space of orders, including a connection to algorithmic randomness. Computability Theory and Ordered Groups" @default.
- W788412093 created "2016-06-24" @default.
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- W788412093 date "2015-01-01" @default.
- W788412093 modified "2023-09-27" @default.
- W788412093 title "Computability Theory and Ordered Groups" @default.
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