Geodesic
On function spaces.~II
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 815-834

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For certain properties $\mathfrak{P}$ of topological $T_0$-spaces, we prove that a $T_0$-space $\mathbb{Y}$ has property $\mathfrak{P}$ if and only if the function space $\mathbb{C}_\mathcal{T}(\mathbb{X},\mathbb{Y})$ endowed with a particular topology $\mathcal{T}$ possesses $\mathfrak{P}$ for some $T_0$-space $\mathbb{X}$.
Keywords: $A$-space, core-compact space, $d$-space, essentially complete space, function space, injective space, sober space, $T_0$-space. 
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     author = {Yu. L. Ershov and M. V. Schwidefsky},
     title = {On function {spaces.~II}},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {815--834},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a9/}
}
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Yu. L. Ershov; M. V. Schwidefsky. On function spaces.~II. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 815-834. http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a9/