The category of $k$-spaces is regular
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 32 (1977) no. 5 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {V. E. Kholodovskii},
     title = {The category of $k$-spaces is regular},
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     url = {http://geodesic.mathdoc.fr/item/RM_1977_32_5_a22/}
}
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V. E. Kholodovskii. The category of $k$-spaces is regular. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 32 (1977) no. 5. http://geodesic.mathdoc.fr/item/RM_1977_32_5_a22/

[1] B. J. Day, G. M. Kelly, “On topological quotient maps preserved by pullbacks or products”, Proc. Cambr. Phil. Soc., 67 (1970), 553–558 | DOI | MR | Zbl

[2] P. A. Grillet, “Regular Categories”, N. N., 236 (1971), 121–221

[3] Dzh. L. Kelli, Obschaya topologiya, Nauka, M., 1968

[4] N. Steenrod, “A convenient category of topological spaces”, Michigan Math. J., 14:2 (1967), 133–152 | DOI | MR | Zbl

[5] M. Sh. Tsalenko, “Kategorii sootvetstvii nad regulyarnymi kategoriyami”, DAN, 211:2 (1973), 297–299 | Zbl