Geodesic
Relations between certain classes of effectively topological spaces
Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 483-495

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Relations between properties of effectively topological spaces such as the existence of a countable regular base, a computable intersection, effective regularity, normality etc., are studied; an arithmetic (constructive) analog of Uryson's Theorem on the metrization of topological spaces with denumerable bases is established; it is shown that the conditions in the analog are independent. 
@article{MZM_1969_5_4_a11,
     author = {E. Yu. Nogina},
     title = {Relations between certain classes of effectively topological spaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {483--495},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a11/}
}
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E. Yu. Nogina. Relations between certain classes of effectively topological spaces. Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 483-495. http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a11/