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References
D. Adnadževič, Some properties ofA-spaces. Soviet Math. Doklady14, 492–496 (1973), translated from Doklady Akad. Nauk SSSR209, 761–764 (1973) (Russian).
Ph. Antoine, Extension minimale de la catégorie des espaces topologiques. C. R. Acad. Sci. Paris, sér A262, 1389–1392 (1966).
Ph. Antoine, Etude élémentaire des catégories d'ensembles structurés. Bull. Soc. Math. Belgique18, 142–164, 387–414 (1966).
N.Bourbaki, Eléments de mathématique; Livre III: Topologie générale, Chap. IX. Paris 1948.
G. C. L.Brümmer, A categorical study of initiality in uniform topology. Ph. D. Thesis, Cape Town 1971.
E.Čech, Topological spaces. Revised edition by Z.Frolík and M.Katětov. London-New York-Sidney 1966.
H.Herrlich, Topologische Reflexionen und Coreflexionen. LNM78 (1968).
H. Herrlich, Topological Functors. Gen. Topol. Appl.4, 125–142 (1974).
H. Herrlich, A concept of Nearness. Gen. Topol. Appl.5, 191–212 (1974).
R.-E.Hoffmann, Die kategorielle Auffassung der Initial- und Finaltopologie. Dissertation, Bochum 1972.
R.-E. Hoffmann, Topological functors and factorizations. Arch. Math.26, 1–7 (1975).
R.-E.Hoffmann, Topological functors admitting generalized Cauchy-completions. In: Proc. Int. Conf. Categorical Topology, ed. by E.Binz and H.Herrlich. LNM540, 286–344 (1976).
M.Hušek, Categorial methods in topology. In: Proc. Symp. Prague 1966 on General Topology and its Rel. to Mod. Analysis and Algebra, pp. 190–194. New York-London-Prague 1967.
M. Hušek, Construction of special functors and its applications. Comment. Math. Univ. Carolinae8, 555–566 (1967).
J. F. Kennison, Reflective functors in general topology and elsewhere. Trans. Amer. Math. Soc.118, 303–315 (1965).
F. W. Lawvere, An elementary theory of the category of sets. Proc. Nat. Acad. Sci. U.S.A.52, 1506–1511 (1964)
S.MacLane, Categories for the working mathematician. Berlin-Heidelberg-New York 1971.
J. E. Roberts, A characterization of initial functors. J. Algebra8, 181–193 (1968).
D. I. Schlomiuk, A characterization of the category of topological spaces. Notices Amer. Math. Soc.14, 269 (1967).
D. I. Schlomiuk, An elementary theory of the category of topological spaces. Trans. Amer. Math. Soc.149, 259–278 (1970).
H.Schubert, Categories. Berlin-Heidelberg-New York 1972.
O. Wyler, On the categories of general topology and topological algebra. Arch. Math.22, 7–17 (1971).
O. Wyler, Top categories and categorical topology. Gen. Topol. App.1, 17–28 (1971).
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Hoffmann, RE. A characterization of a class of categories of topological spaces. Arch. Math 30, 304–316 (1978). https://doi.org/10.1007/BF01226060
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DOI: https://doi.org/10.1007/BF01226060