Geodesic
Completeness theorem in $(q_1,q_2)$-quasimetric spaces
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 2090-2097.

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In $(q_1,q_2)$-quasimetric space $(X,d)$ we proved the completeness theorem for $(q_1,q_2)$-quasimetric space $(\mathcal{M}_{\overline{d}},H)$, where $\mathcal{M}_{\overline{d}}$ is the set of all $\overline{d}$-closed sets, $\overline{d}$ is conjugate to $d$ $(q_2,q_1)$-quasimetric, $H$ is the Hausdorff distance.
Mots-clés : $(q_1,q_2)$-quasimetric space, conjugate $(q_2,q_1)$-quasimetric, Hausdorff distance.
Keywords: completeness 
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A. V. Greshnov; R. I. Zhukov. Completeness theorem in $(q_1,q_2)$-quasimetric spaces. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 2090-2097. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a146/

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