论文信息 - Cartesian closed topological hulls

Cartesian closed topological hulls

ABsTRAcr. It is shown in this paper that if a concrete category 9 admits embedding as a full finitely productive subcategory of a cartesian closed topological (CCT) category, then W admits such embedding into a smallest CCT category, its CCT hull. This hull is characterized internally by means of density properties and externally by means of a universal property. The problem is posed of whether every topological category has a CCT hull.

Horst Herrlich | L. D. Nel

[1] Brian Day,et al. A reflection theorem for closed categories , 1972 .

[2] D. Kent,et al. Convergence functions and their related topologies , 1964 .

[3] H. Herrlich. Some topological theorems which fail to be true , 1976 .

[4] H. Poppe,et al. Compactness in general function spaces , 1974 .

[5] Ernst Binz,et al. Continuous Convergence on C (X) , 1975 .

[6] H. Fischer,et al. On equicontinuity and continuous convergence , 1965 .

[7] E. Binz. Bemerkungen zu limitierten Funktionenalgebren , 1967 .

[8] D. Kent,et al. Continuous convergence in $C(X)$. , 1974 .

[9] Oswald Wyler,et al. Are there topoi in topology , 1976 .

[10] Miroslav Katětov,et al. On continuity structures and spaces of mappings , 1965 .

[11] W. Benz. Die Galoisgruppen als Gruppen von Inversionen , 1968 .

[12] Andree Bastiani,et al. Applications différentiables et variétés différentiables de dimension infinie , 1964 .

[13] H. Herrlich,et al. Convenient categories for topologists , 1976 .

[14] L. D. Nel,et al. Cartesian closed topological categories , 1976 .

[15] M. Schroder. Solid convergence spaces , 1973, Bulletin of the Australian Mathematical Society.

[16] Hans-Joachim Kowalsky,et al. Limesräume und Komplettierung , 1954 .

[17] H. Keller,et al. Funktionenräume in der Kategorie der Limesräume , 1966 .

[18] O. Wyler. Convenient categories for topology , 1973 .