Traces of Epimorphism classes (bibtex)

by Lutz Schröder

Abstract:

Classes of morphisms that occur as preimages of the class of all epimorphisms, of all extremal epimorphisms, respectively of all retractions under some faithful functor are characterized by suitable closure properties. The corresponding question for regular or strict epimorphisms is presented as an open problem. A further application of the methods developed in this context yields a similar characterization of classes of morphisms that are final w.r.t. some faithful functor.

Reference:

Lutz Schröder: Traces of Epimorphism classes, In Quaestiones Mathematicae, 24, pp. 193–200, 2001. [preprint]

Bibtex Entry:

@Article{Schroder01b,
  author = {Lutz Schr{\"o}der},
  title = {Traces of Epimorphism classes},
  year = {2001},
  journal = {Quaestiones Mathematicae},
  volume = {24},
  pages = {193--200},
  keywords = {epimorphism graph category},
  comment = {<a href="http://www8.informatik.uni-erlangen.de/~schroeder/papers/traces.ps">[preprint]</a>},
  abstract = {Classes of morphisms that occur as preimages of the class of all epimorphisms, of all extremal epimorphisms, respectively of all retractions under some  faithful functor are characterized by suitable closure properties. The corresponding question for regular or strict epimorphisms is presented as an open problem.

A further application of the methods developed in this context yields a similar characterization of classes of morphisms that are final w.r.t. some faithful functor. 
},
}