Keywords
- Full Subcategory
- Normed Vector Space
- Categorical Topology
- MacNeille Completion
- Faithful Functor
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
Antoine, Ph.: Etude élémentaire des catégories d'ensembles structurés. Bull.Soc.Math.Belgique 18, 142–164 and 387–414 (1966).
Banaschewski, B.: Hüllensysteme und Erweiterung von Quasi-Ordnungen. Z.Math.Logik Grundlagen Math. 2, 117–130 (1956).
Banaschewski, B. and G. Bruns: Categorical characterization of the MacNeille completion. Archiv d.Math. 18, 369–377 (1967).
Brümmer, G.C.L.: A categorial study of initiality in uniform topology. Ph.D. thesis, University of Cape Town, 1971.
Herrlich, H.: Initial completions. Math.Z. 150, 101–110 (1976) (also in: "Kategorienseminar" (Hagen, 1975), pp.3–25 (1976)).
Ho1 Hoffmann, R.-E.: Die kategorielle Auffassung der Initial-und Finaltopologie. Dissertation, Universität Bochum 1972.
Ho2 —: Topological functors and factorizations. Archiv d.Math. 26, 1–7 (1975).
Ho3 —: (E,M)-universally topological functors. Habilitationsschrift, Universität Düsseldorf 1974.
Ho4 —: Topological functors admitting generalized Cauchy-completions. In: Categorical Topology. Proceedings of a Conference (Mannheim, 1975), pp.286–344. Lecture Notes in Math. 540. Berlin-Heidelberg-New York: Springer 1976.
Ho5 —: Topological completion of faithful functors (1975; unpublished). Summary (=§o) in: "Kategorienseminar" (Hagen, 1975), pp.26–37 (1976).
Ho6 —: Note on semi-topological functors. Math.Z. 160, 69–74 (1978).
Ho7 —: Note on universal topological completion. Cahiers Topologie Géom.Différentielle 20, 199–216 (1979).
Isbell, J.R.: Adequate subcategories. Illinois J.Math. 4, 541–552 (1960).
Manes, E.G.: A pullback theorem for triples in a lattice fibering with applications to algebra and analysis. Algebra Universalis 2, 7–17 (1972).
MacLane, S.: Categories for the working mathematician. Berlin-Heidelberg-New York: Springer 1971.
MacNeille, H.: Partially ordered sets. Trans.Amer.Math.Soc. 42, 416–460 (1937).
Roberts, J.E.: A characterization of initial functors. J.Algebra 8, 181–193 (1968).
Semadeni, Z.: Banach Spaces of Continuous Functions. Warszawa: PWN-Polish Scientific Publishers 1971.
Ulmer, F.: Properties of dense and relative adjoint functors. J.Algebra 8, 77–95 (1968).
Wyler, O.: Are there topoi in topology? in: Categorical Topology. Proceedings of a Conference (Mannheim, 1975), pp.699–719. Lecture Notes in Math.540. Berlin-Heidelberg-New York: Springer 1976.
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© 1982 Springer-Verlag
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Hoffmann, RE. (1982). Minimal topological completion of KBan1→KVec. In: Kamps, K.H., Pumplün, D., Tholen, W. (eds) Category Theory. Lecture Notes in Mathematics, vol 962. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066891
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DOI: https://doi.org/10.1007/BFb0066891
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