We raise the question of saying what it means for a functor between abelian categories to preserve homology. We give a kind of answer and explore the reasons it is unsatisfactory in general (although fine for left or right exact functors).
Keywords: preservation of homology
2000 MSC: 18E10, 18A22
Theory and Applications of Categories,
Vol. 16, 2006,
No. 7, pp 132-143.
http://www.tac.mta.ca/tac/volumes/16/7/16-07.dvi
http://www.tac.mta.ca/tac/volumes/16/7/16-07.ps
http://www.tac.mta.ca/tac/volumes/16/7/16-07.pdf
ftp://ftp.tac.mta.ca/pub/tac/html/volumes/16/7/16-07.dvi
ftp://ftp.tac.mta.ca/pub/tac/html/volumes/16/7/16-07.ps