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Initial completions. (English) Zbl 0319.18001


MSC:

18A35 Categories admitting limits (complete categories), functors preserving limits, completions
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References:

[1] Antoine, P.: Étude élémentaire des catégories d’ensembles structurés. Bull. Soc. math. Belgique18, 142-164 (1966) · Zbl 0158.19902
[2] Banaschewski, B., Bruns, G.: Categorical characterization of the MacNeille completion. Arch. der Math.18, 369-377 (1967) · Zbl 0157.34101 · doi:10.1007/BF01898828
[3] Bourbaki, N.: Théorie des ensembles. Ch. 3 Ensembles ordonnés. Paris: Hermann 1963
[4] Bourdaud, G.: Some cartesian closed topological categories of convergence spaces. In: Proc. Int. Conf. Categ. Topology (Mannheim 1975). Springer Lecture Notes in Math.540, 93-108 (1976)
[5] Brümmer, G. C. L., Hoffmann, R.-E.: An external characterization of topological functors. In: Proc. Int. Conf. Categ. Topology (Mannheim 1975). Springer Lectures Notes Math.540, 136-151 (1976)
[6] Chartrelle, M.: Construction de catégories auto-dominées. C. r. Acad. Sci., Paris Sér. A-B274, A388-A391 (1972) · Zbl 0229.18006
[7] Day, B.: A reflection theorem for closed categories. J. pure appl. Algebra2, 1-11 (1972) · Zbl 0236.18004 · doi:10.1016/0022-4049(72)90021-7
[8] Hales, A. W.: On the non-existence of free complete Boolean algebras. Fund. Math.54, 45-66 (1964) · Zbl 0119.26003
[9] Herrlich, H., Nel, L. D.: Cartesian closed topological hulls. Proc. Amer. math. Soc. To appear · Zbl 0361.18006
[10] Hoffmann, R.-E.: Topological completion of faithful functors. In: Nordwestdeutsches Kategorienseminar (Hagen 1975). To appear
[11] Müller, H.: Über die Vertauschbarkeit von Reflexionen und Coreflexionen. Quasi-Top-Kategorien überMeng. Preprint, Bielefeld 1974
[12] Osius, G.: Eine axiomatische Strukturtheorie. Thesis, Free University Berlin 1969
[13] Ringleb, P.: Untersuchungen über die Kategorie der geordneten Mengen. Thesis, Free University Berlin 1969
[14] Spanier, E.: Quasi-topologies. Duke Math. J.30, 1-14 (1963) · Zbl 0114.38702 · doi:10.1215/S0012-7094-63-03001-1
[15] Wyler, O.: Are there topoi in topology? In: Proc. Int. Conf. Categ. Topology (Mannheim 1975). Springer Lectures Notes Math.540, 699-719 (1976)
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