Geodesic
On $\Delta$-metrizable spaces
Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 277-287.

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The problem about the necessity of the Doichinov–Nedev condition for the $\Delta$-metrizability of a topological space and the Stoltenberg problem, whether every Moore space is $\Delta$-metrizable, has negative solutions in the class of completely regular topological spaces. 
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     author = {Ya. A. Kofner},
     title = {On $\Delta$-metrizable spaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {277--287},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a12/}
}
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Ya. A. Kofner. On $\Delta$-metrizable spaces. Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 277-287. http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a12/