Related to Shape Theory, in a previous paper (1992) we studied weak monomorphisms and weak epimorphisms in the category of pro-groups. In this note we give some intrinsic characterizations of the weak monomorphisms and the weak epimorphisms in pro-HTop* in the case when one of the two objects of such a morphism is a rudimentary system.
@article{urn:eudml:doc:44203, title = {On some weak monomorphisms and weak epimorphisms of pro-HTop*.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {9}, year = {1996}, pages = {198-203}, zbl = {0874.55012}, mrnumber = {MR1413274}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44203} }
Pop, I. On some weak monomorphisms and weak epimorphisms of pro-HTop*.. Revista Matemática de la Universidad Complutense de Madrid, Tome 9 (1996) pp. 198-203. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44203/