I just discovered the following paper through Google Scholar: "On Functors which are lax epimorphisms" bu Jiri Adamek, Robert El Bashir, Manuelas Sobral and Jiri Velebril, in Theory and Applications of Categories, Vol. 8, No. 20, 2001, pp. 509–521. Charles Wells -- Charles Wells abstract math website: http://www.abstractmath.org/MM//MMIntro.htm professional website: http://www.cwru.edu/artsci/math/wells/home.html personal website: http://www.abstractmath.org/Personal/index.html genealogical website: http://familytreemaker.genealogy.com/users/w/e/l/Charles-Wells/ NE Ohio Sacred Harp website: http://www.abstractmath.org/fasola/index.html