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- catalog contributor b12555940.
- catalog contributor b12555941.
- catalog created "2002 (2005 printing)".
- catalog date "(2005 printing)".
- catalog date "2002".
- catalog dateCopyrighted "2002".
- catalog description "3. Transversals, [lambda]-systems and NPT -- 3A. Reshuffling [lambda]-systems -- 4. Hereditarily separable groups -- 5. NPT and the construction of almost free groups -- VIII. N[subscript 1]-Separable Groups (VI, VII.0,1) -- 1. Constructions and definitions -- 2. N[subscript 1]-separable groups under Martin's axiom -- 3. N[subscript 1]-separable groups under PFA -- IX. Quotients of Products of Z (III, IV, V) -- 1. Perps and products -- 2. Countable products of the integers -- 3. Uncountable products of the integers -- 4. Radicals and large cardinals -- X. Iterated Sums and Products (III) -- 1. The Reid class -- 2. Types in the Reid class -- XI. Topological Methods (X, IV) -- 1. Inverse and direct limits -- 2. Completions -- 3. Density and dual bases -- 4. Groups of continuous functions -- 5. Sheaves of abelian groups -- XII. An Analysis of Ext (VII, VIII.1) -- 1. Ext and Diamond -- 2. Ext, MA and Proper forcing -- 3. Baer modules -- 4. The structure of Ext -- ".
- catalog description "4. The Black Box and Ext -- XVII. Dual Groups (IX, XI, XIV) -- 1. Invariants of dual groups -- 2. Tree groups -- 3. Criteria for being a dual group -- 4. Some non-reflexive groups -- 5. Dual groups in L -- App. Open and Solved Problems.".
- catalog description "5. The structure of Ext when Hom = 0 -- XII. Uniformization (XII) -- 1. The basic construction and its applications -- 2. The necessity of uniformization -- 3. The diversity of Whitehead groups -- 4. Monochromatic uniformization and hereditarily separable groups -- XIV. The Black Box and Endomorphism Rings (V, VI) -- 1. Introducing the Black Box -- 2. Proof of the Black Box -- 3. Endomorphism rings of cotorsion-free groups -- 4. Endomorphism rings of separable groups -- 5. Weak realizability of endomorphism rings and the Kaplansky Test problems -- XV. Some Constructions in ZFC (VII, VIII, XIV) -- 1. A rigid N[subscript 1]-free group of cardinality N[subscript 1] -- 2. N[subscript n]-separable groups with the Corner pathology -- 3. Absolutely indecomposable modules -- 4. The existence of [lambda]-separable groups -- XVI. Cotorsion Theories, Covers and Splitters (IX, XII.1, XIV) -- 1. Orthogonal classes and splitters -- 2. Cotorsion theories -- 3. Almost free splitters -- ".
- catalog description "I. Algebraic Preliminaries -- 1. Homomorphisms and extensions -- 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 sets -- 5. Games and trees -- 6. [Delta]-systems and partitions -- III. Slender Modules -- 1. Introduction to slenderness -- 2. Examples of slender modules and rings -- 3. The Los-Eda theorem -- IV. Almost Free Modules -- 1. [kappa]-free modules -- 2. N[subscript 1]-free abelian groups -- 3. Compactness results -- V. Pure Injective Modules -- 1. Structure theory -- 2. Cotorsion groups -- VI. More Set Theory -- 1. Prediction Principles -- 2. Models of set theory -- 3. L, the constructible universe -- 4. MA and PFA -- 5. PCF theory and I[[lambda]] -- VII. Almost Free Modules Revisited (IV, VI) -- 0. N[subscript 1]-free abelian groups revisited -- 1. k-free modules revisited -- 2. k-free abelian groups -- ".
- catalog extent "xxi, 597 p. ;".
- catalog identifier "0444504923".
- catalog isPartOf "North-Holland mathematical library ; v. 65.".
- catalog isPartOf "North-Holland mathematical library, 0924-6509 ; v. 65".
- catalog issued "2002".
- catalog language "eng".
- catalog publisher "Amsterdam ; New York : North-Holland Elsevier,".
- catalog subject "512/.42 22".
- catalog subject "Abelian groups.".
- catalog subject "Modules (Algebra)".
- catalog subject "QA247 .E385 2002".
- catalog subject "Set theory.".
- catalog tableOfContents "3. Transversals, [lambda]-systems and NPT -- 3A. Reshuffling [lambda]-systems -- 4. Hereditarily separable groups -- 5. NPT and the construction of almost free groups -- VIII. N[subscript 1]-Separable Groups (VI, VII.0,1) -- 1. Constructions and definitions -- 2. N[subscript 1]-separable groups under Martin's axiom -- 3. N[subscript 1]-separable groups under PFA -- IX. Quotients of Products of Z (III, IV, V) -- 1. Perps and products -- 2. Countable products of the integers -- 3. Uncountable products of the integers -- 4. Radicals and large cardinals -- X. Iterated Sums and Products (III) -- 1. The Reid class -- 2. Types in the Reid class -- XI. Topological Methods (X, IV) -- 1. Inverse and direct limits -- 2. Completions -- 3. Density and dual bases -- 4. Groups of continuous functions -- 5. Sheaves of abelian groups -- XII. An Analysis of Ext (VII, VIII.1) -- 1. Ext and Diamond -- 2. Ext, MA and Proper forcing -- 3. Baer modules -- 4. The structure of Ext -- ".
- catalog tableOfContents "4. The Black Box and Ext -- XVII. Dual Groups (IX, XI, XIV) -- 1. Invariants of dual groups -- 2. Tree groups -- 3. Criteria for being a dual group -- 4. Some non-reflexive groups -- 5. Dual groups in L -- App. Open and Solved Problems.".
- catalog tableOfContents "5. The structure of Ext when Hom = 0 -- XII. Uniformization (XII) -- 1. The basic construction and its applications -- 2. The necessity of uniformization -- 3. The diversity of Whitehead groups -- 4. Monochromatic uniformization and hereditarily separable groups -- XIV. The Black Box and Endomorphism Rings (V, VI) -- 1. Introducing the Black Box -- 2. Proof of the Black Box -- 3. Endomorphism rings of cotorsion-free groups -- 4. Endomorphism rings of separable groups -- 5. Weak realizability of endomorphism rings and the Kaplansky Test problems -- XV. Some Constructions in ZFC (VII, VIII, XIV) -- 1. A rigid N[subscript 1]-free group of cardinality N[subscript 1] -- 2. N[subscript n]-separable groups with the Corner pathology -- 3. Absolutely indecomposable modules -- 4. The existence of [lambda]-separable groups -- XVI. Cotorsion Theories, Covers and Splitters (IX, XII.1, XIV) -- 1. Orthogonal classes and splitters -- 2. Cotorsion theories -- 3. Almost free splitters -- ".
- catalog tableOfContents "I. Algebraic Preliminaries -- 1. Homomorphisms and extensions -- 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 sets -- 5. Games and trees -- 6. [Delta]-systems and partitions -- III. Slender Modules -- 1. Introduction to slenderness -- 2. Examples of slender modules and rings -- 3. The Los-Eda theorem -- IV. Almost Free Modules -- 1. [kappa]-free modules -- 2. N[subscript 1]-free abelian groups -- 3. Compactness results -- V. Pure Injective Modules -- 1. Structure theory -- 2. Cotorsion groups -- VI. More Set Theory -- 1. Prediction Principles -- 2. Models of set theory -- 3. L, the constructible universe -- 4. MA and PFA -- 5. PCF theory and I[[lambda]] -- VII. Almost Free Modules Revisited (IV, VI) -- 0. N[subscript 1]-free abelian groups revisited -- 1. k-free modules revisited -- 2. k-free abelian groups -- ".
- catalog title "Almost free modules : set-theoretic methods / Paul C. Eklof, Alan H. Mekler.".
- catalog type "text".