This is the first book which gives a unified theory for countable and uncountable computable structures.

The work treats computable linear orderings, graphs, groups and Boolean algebras unified with computable metric and Banach spaces, profinite groups, and the like. Further, it provides the first account of these that exploits effective versions of dualities, such as Stone and Pontryagin dualities. The themes are effective classification and enumeration.

Topics and features:

· · · · · Presents the first book treatment of Friedberg enumerations of structures

This unique volume is aimed at graduate students and researchers in computability theory, as well as mathematicians seeking to understand the algorithmic content of structure theory. Being self-contained, it provides ample opportunity for self-study.

Professor Rodney Downey and Associate Professor Alexander Melnikov both are affiliated with the School of Mathematics and Statistics at Victoria University, Wellington, New Zealand.