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\(T_0\)-separation in topological categories. (English) Zbl 0384.18002


MSC:

18A99 General theory of categories and functors
18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms
54B30 Categorical methods in general topology
18B30 Categories of topological spaces and continuous mappings (MSC2010)
18D99 Categorical structures
54D10 Lower separation axioms (\(T_0\)–\(T_3\), etc.)
54E15 Uniform structures and generalizations
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References:

[1] Brummer G. C.L., ”A categorial study of initiality in uniform topology” (1971)
[2] Brümmer G. C.L., Proc. S. Afr. Math. Soc. 4 pp 81– (1974)
[3] Harvey J. M., ”Topological category extension and quasi-uniform topology”
[4] DOI: 10.1016/0016-660X(74)90016-6 · Zbl 0288.54003
[5] Hoffmann R.-E., ”(E,M)-universally topological functors” (1974)
[6] DOI: 10.1007/BFb0080865
[7] Hoffmann R.-E., Math. Nachr.
[8] Salbany S. O., S. Afr. Math. Soc. Annual Report pp 91– (1969)
[9] Salbany S. O., Math. Colloq. Univ. Cape Town 7 pp 33– (1971)
[10] Skula L., Trans. Amer. Math. Soc. 142 pp 37– (1969)
[11] DOI: 10.1007/BF01222531 · Zbl 0265.18008
[12] DOI: 10.1016/0016-660X(71)90106-1 · Zbl 0215.51502
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