| Algebraic Preliminaries | |
| Homomorphisms and extensions | |
| Direct sums and products | |
| Linear topologies | |
| Set Theory | |
| Ordinary set theory | |
| Filters and large cardinals | |
| Ultraproducts | |
| Clubs and stationary sets | |
| Games and trees | |
| utri;-systems and partitions | |
| Slender Modules | |
| Introduction to slenderness | |
| Examples of slender modules and rings | |
| The Lstrok;os-Eda theorem | |
| Almost Free Modules | |
| Introduction to aleph; 1 free abelian groups | |
| kgr;-free modules | |
| aleph; 1 -free abelian groups | |
| Compactness results | |
| Pure Injective Modules | |
| Structure theory | |
| Cotorsion groups | |
| More Set Theory | |
| Prediction Principles | |
| Models of set theory | |
| L, the constructible universe | |
| MA and PFA | |
| PCF theory and I [lgr;] | |
| Almost Free Modules Revisisted (IV, VI) | |
| aleph; 1 -free abelian groups revisited | |
| kgr;-free modules revisited | |
| kgr;-free abelian groups | |
| Transversals, lgr;-systems and NPT | |
| Reshuffling lgr;-systems | |
| Hereditarily separable groups | |
| NPT and the construction of almost free groups | |
| aleph; 1 -Separable Groups (VI, VII.0,1) | |
| Constructions and definitions | |
| aleph; 1 -separable groups under Martin's axiom | |
| aleph; 1 -separable groups under PFA | |
| Quotients Of Products Of Z (III, IV, V) | |
| Perps and products | |
| Countable products of the integers | |
| Uncountable products of the integers | |
| Radicals and large cardinals | |
| Iterated Sums And Products (III) | |
| The Reid class | |
| Types in the Reid class | |
| Topological Methods (X, IV) | |
| Inverse and direct limits | |
| Completions | |
| Density and dual bases | |
| Groups of continuous functions | |
| Sheaves of abelian groups | |
| An Analysis Of Ext (VII, VIII.1) | |
| Ext and Diamond | |
| Ext, MA and Proper forcing | |
| Baer modules | |
| The structure of Ext | |
| The structure of Ext when Hom=0 | |
| Uniformization (XII) | |
| Whitehead groups and uniformization | |
| The basic construction and its applications | |
| The necessity of uniformization | |
| The diversity of Whitehead groups | |
| Monochromatic uniformization and hereditarily separable groups | |
| The Black Box And Endomorphism Rings(V, VI) | |
| Introducing the Black Box | |
| Proof of the Black Box | |
| Endomorphism rings of cotorsion-free groups | |
| Endomorphism rings of separable groups | |
| Weak realizability of endomorphism rings and the Kaplansky Test problems | |
| Some Constructions In ZFC (VII, VIII, XIV) | |
| A rigid aleph; 1 -free group of cardinality aleph; 1 | |
| aleph; n -separable groups with the Corner pathology | |
| Absolutely indecomposable modules | |
| The existence of lgr;-separable groups | |
| Cotorsion Theories, Covers And Splitters(IX, XII.1, XIV) | |
| Orthogonal classes and splitters | |
| Cotorsion theories | |
| Almost free splitters | |
| The Black Box and Ext | |
| Dual Groups (IX, XI, XIV) | |
| Invariants of dual groups | |
| Tree groups | |
| Criteria for being a dual group | |
| Some non-reflexive groups | |
| Dual groups in L | |
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