nLab Methods of homological algebra

This page has material related to the book

• Sergei Gelfand, Yuri Manin:

  Methods of homological algebra,

  transl. from the 1988 Russian (Nauka Publ.) original,

  Springer 1996. xviii+372 pp. 2nd corrected ed. 2002

  doi:10.1007/978-3-662-12492-5

on homological algebra and homotopical algebra (including triangulated categories, t-structures and also rational homotopy theory via model structure on dgc-algebras).

Related references:

• Aldridge Bousfield, Victor Gugenheim, On PL deRham theory and rational homotopy type, Memoirs of the AMS, vol. 179 (1976) (ams:memo-8-179)

Review references

• Kathryn Hess, p. 6 of: Rational homotopy theory: a brief introduction, contribution to Summer School on Interactions between Homotopy Theory and Algebra, University of Chicago, July 26-August 6, 2004, Chicago (arXiv:math.AT/0604626), chapter in Luchezar Lavramov, Dan Christensen, William Dwyer, Michael Mandell, Brooke Shipley (eds.), Interactions between Homotopy Theory and Algebra, Contemporary Mathematics 436, AMS 2007 (doi:10.1090/conm/436)

• Joshua Moerman, Section II of: Rational Homotopy Theory, 2015 (pdf, pdf)

category: reference