Whitehead groups may not be free even assuming CH. II
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Publication:1155610
DOI10.1007/BF02760652zbMath0467.03049WikidataQ56169126 ScholiaQ56169126MaRDI QIDQ1155610
Publication date: 1980
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Applications of logic to group theory (20A15) Consistency and independence results (03E35) Extensions of abelian groups (20K35) Other combinatorial set theory (03E05)
Related Items (38)
On the structure of Ext(A,Z) in ZFC+ ⋮ Unnamed Item ⋮ Hereditarily separable groups and monochromatic uniformization ⋮ A generalization of Whitehead's problem and its independence ⋮ PFA and \(\omega\) \(*_ 1\) ⋮ Diamonds, uniformization ⋮ Uniformization principles ⋮ Countable dense homogeneous spaces under Martin's axiom ⋮ Sticks and clubs ⋮ Saturated filters at successors of singulars, weak reflection and yet another weak club principle ⋮ On the rank of Ext ⋮ Complementation and decompositions in some weakly Lindelöf Banach spaces ⋮ Negating the Galvin property ⋮ Test groups for Whitehead groups. ⋮ The consistency of \(\mathrm{Ext}\,(G,\mathbb{Z})=\mathbb{Q}\) ⋮ Filtration-equivalent \(\aleph_1\)-separable Abelian groups of cardinality \(\aleph_1\). ⋮ Set Theory Generated by Abelian Group Theory ⋮ The affinity of set theory and abelian group theory. ⋮ Lattices and cohomological Mackey functors for finite cyclic \(p\)-groups ⋮ On the number of ${L}_{\infty \omega _1}$-equivalent non-isomorphic models ⋮ \(\clubsuit\) does not imply the existence of a Suslin tree ⋮ Quite free complicated abelian groups, pcf and black boxes ⋮ On Whitehead modules ⋮ Conflict free colorings of nonuniform systems of infinite sets ⋮ THE NUMBER OF ATOMIC MODELS OF UNCOUNTABLE THEORIES ⋮ Hedetniemi's conjecture for uncountable graphs ⋮ Ladder systems on trees ⋮ A non-reflexive Whitehead group ⋮ Whitehead groups may be not free, even assuming CH. I ⋮ Diagonal Prikry extensions ⋮ Towers and clubs ⋮ Uniformization and the diversity of Whitehead groups ⋮ On uncountable Abelian groups ⋮ Every coseparable group may be free ⋮ A consistent counterexample in the theory of collectionwise Hausdorff spaces ⋮ Additivity of metrizability and related properties ⋮ Set systems with finite chromatic number ⋮ The yellow cake
Cites Work
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- Aspects of constructibility
- Infinite Abelian groups, Whitehead problem and some constructions
- Singular cohomology in \(L\)
- A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
- Whitehead groups may be not free, even assuming CH. I
- A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
- On uncountable Abelian groups
- A new class of order types
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