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At model structure on chain complexes, an ’anonymous editor’ suggests that a line saying ’blah blah’ should be completed to something more illuminating!
Just for reader’s convenience: this refers to this precise spot in the entry.
(I just fixed a typo.)
added pointer to
added references which claim (but don’t prove) the projective model structure on connective cochain complexes:
The projective model structure on connective cochain complexes is claimed, without proof, in:
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)
J.L. Castiglioni, G. Cortiñas, Def. 4.7 of: Cosimplicial versus DG-rings: a version of the Dold-Kan correspondence, J. Pure Appl. Algebra 191 (2004), no. 1-2, 119–142, (arXiv:math.KT/0306289, doi:10.1016/j.jpaa.2003.11.009)
added pointer to:
Added (here) statement and proof, following Prop. 24 in
(which I added), that the model structures with (co)fibrations the degreewise injections/surjections are proper.
No proof yet that this works for bounded chain complexes with conditions in positive degrees.
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