Set theoretic methods in homological algebra and Abelian groups. Transl. from the English. (Теоретико-множественные методы в гомологической алгебре и теории абелевых групп.) (Russian) Zbl 0669.03022

Eklof, Paul C.

Matematika. Novoe v Zarubezhnoĭ Nauke, 40. Moskva: Mir. 91 p. R. 0.70 (1986).

See the review of the English original (Montréal, 1980) in Zbl 0488.03029.

MSC:

03E75	Applications of set theory
03-02	Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations
20-02	Research exposition (monographs, survey articles) pertaining to group theory
18-02	Research exposition (monographs, survey articles) pertaining to category theory
20J99	Connections of group theory with homological algebra and category theory
20A15	Applications of logic to group theory
18G15	Ext and Tor, generalizations, Künneth formula (category-theoretic aspects)
20K99	Abelian groups
20K20	Torsion-free groups, infinite rank
03E45	Inner models, including constructibility, ordinal definability, and core models
03E50	Continuum hypothesis and Martin’s axiom

Keywords:

axiom of constructibility; Whitehead groups; almost free groups; Martin’s axiom; combinatorial principles

Citations:

Zbl 0042.08703; Zbl 0318.02053; Zbl 0488.03029