Computable Structures and the Hyperarithmetical Hierarchy e-bog
1021,49 DKK
(inkl. moms 1276,86 DKK)
This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There are many interesting results already, but th...
E-bog
1021,49 DKK
Forlag
Elsevier Science
Udgivet
16 juni 2000
Længde
366 sider
Genrer
PBD
Sprog
English
Format
pdf
Beskyttelse
LCP
ISBN
9780080529523
This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There are many interesting results already, but there are also many natural questions still to be answered. The book is self-contained in that it includes necessary background material from recursion theory (ordinal notations, the hyperarithmetical hierarchy) and model theory (infinitary formulas, consistency properties).