T\(_{0}\)-reflection and injective hulls of fibre spaces (Q1403811)
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scientific article; zbMATH DE number 1974766
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | T\(_{0}\)-reflection and injective hulls of fibre spaces |
scientific article; zbMATH DE number 1974766 |
Statements
T\(_{0}\)-reflection and injective hulls of fibre spaces (English)
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4 September 2003
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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).
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injective object
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injctive hull
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topological space
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slice categories
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weak factorization systems
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