T\(_{0}\)-reflection and injective hulls of fibre spaces
In their previous paper [\textit{F. Cagliari} and \textit{S. Mantovani}, ibid. 125, 525-532 (2002; Zbl 1023.18014)], the authors studied injective objects in the category \({\mathcal T}op_0/A\) of topological \(T_0\)-spaces over a space \(A\). Now, they do the same for topological spaces using their \(T_0\)-reflection. The existence of injective hulls is described as well (injectivity in slice categories \(\mathcal K/A\) is related to weak factorization systems in \(\mathcal K\) and has originated in homotopy theory).
scientific article; zbMATH DE number 1974766