Forcing, Arithmetic, Division Rings / Edition 1

Forcing, Arithmetic, Division Rings / Edition 1

ISBN-10:
3540071571
ISBN-13:
9783540071570
Pub. Date:
07/14/1975
Publisher:
Springer Berlin Heidelberg

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Product Details

ISBN-13: 9783540071570
Publisher: Springer Berlin Heidelberg
Publication date: 07/14/1975
Series: Lecture Notes in Mathematics , #454
Edition description: 1975
Pages: 266
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Existentially complete structures and existentially universal structures.- Model-completions and model-companions.- Infinite forcing in model theory.- Approximating chains for .- Finite forcing in model theory.- Axiomatizations.- Forcing and recursion theory.- Existentially complete models.- Simple models and R.E. ultrapowers.- Regular models.- Regular models and second order models for arithmetic.- Generic models and the analytic hierarchy.- Applications to complete extensions of peano's arithmetic.- Existentially complete division rings.- Nullstellensatz.- Classes of existentially complete division algebras.

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