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Almost Free Modules : Set-Theoretic Methods Volume 65 - P. C. Eklof

Almost Free Modules

Set-Theoretic Methods Volume 65

By: P. C. Eklof, A. H. Mekler

Hardcover | 29 April 2002

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I. ALGEBRAIC PRELIMINARIES

1. Homomorphisms and extension s.

2. Direct sums and products.

3. Linear topologies.


II. SET THEORY

1. Ordinary set theory.

2. Filters and large cardinals.

3. Ultraproducts.

4. Clubs and stationary set s.

5. Games and trees.

6. ▵-systems a nd partitions.


III. SLENDER MODULES

1.Introduction to slenderness.

2.Examples of slende r modules and rings.

3.The Łoś-Eda theorem.


IV. ALMOST FREE MODULES

0. In troduction to ℵ1free abelian groups.

1. &kgr;-free modules.

2. ℵ1-free abelian g roups.

3. Compactness results.


V. PURE INJECTIVE MODULES

1. Structure theory.

2. Cotorsion groups.



VI. MO RE SET THEORY

1. Prediction Principles.

2.

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