Downey R. Computable Structure Theory. A Unified Approach 2025

Textbook in PDF format

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