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. 
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     author = {Yu. L. Ershov},
     title = {$K$-completions of $T_0$-spaces},
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     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/

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