Geodesic
$K$-completions of $T_0$-spaces
Algebra i logika, Tome 61 (2022) no. 3, pp. 263-279

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For a wide category $\mathbf{K}$, we introduce the notions of a $\mathbf{K}$-precomplete map and of a $\mathbf{K}$-subspace. Based on these, we create a uniform method for constructing $\mathbf{K}$-completions of $T_0$-spaces.
Keywords: wide category $\mathbf{K}$, $T_0$-space, $\mathbf{K}$-completion of $T_0$-space. 
@article{AL_2022_61_3_a0,
     author = {Yu. L. Ershov},
     title = {$K$-completions of $T_0$-spaces},
     journal = {Algebra i logika},
     pages = {263--279},
     publisher = {mathdoc},
     volume = {61},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2022_61_3_a0/}
}
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Yu. L. Ershov. $K$-completions of $T_0$-spaces. Algebra i logika, Tome 61 (2022) no. 3, pp. 263-279. http://geodesic.mathdoc.fr/item/AL_2022_61_3_a0/