On the classes of dense and closed subobjects

Journal of Pure and Applied Algebra

Volumn 110, Issue 1, 1996, Pages 81-89

  Tonolo, Alberto ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

Closure operator; Dense and closed subobjects

Indexed keywords

EID: 0030575210     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/0022-4049(95)00101-8     Document Type: Article

References (24)

1. [1] J. Adamek, H. Herrlich and G.E. Strecker, Abstract and concrete categories, in: Pure and Applied Mathematics (Wiley, New York, 1990).
2. [2] F. Cagliari and M. Cicchese, Epireflective subcategories and epiclosure, Riv. Mat. Univ. Parma 8 (1982) 115-122.
3. [3] C. Cassidy, M. Hebert and G.M. Kelly, Reflective subcategories, localizations and factorizations systems, J. Austral. Math. Soc. (Ser. A) 38 (1985) 387-429.
4. [4] G. Castellini, J. Koslowski and G.E. Strecker, A factorization of the Pumplum-Rohrl connection, Topology Appl. 44 (1992) 69-76.
5. [5] D. Dikranjan and E. Giuli, Closure operators I, Topology Appl. 27 (1987) 129-143.
6. [6] D. Dikranjan and E. Giuli, Factorizations, injectivity and compactness in categories of modules, Comm. Algebra 19 (1991) 45-83.
7. [7] D. Dikranjan, E. Giuli and W. Tholen, Closure operators II, Proc. Internat. Conf. on Categorical Topology, Prague, 1988 (World Scientific, Singapore, 1989) 297-335.
8. [8] D. Dikranjan and I. Prodanov, Totally minimal topological groups, Annuaire Univ. Sofia Fac. Math. Mec. 69 (1974/1975) 5-11.
9. [9] D. Dikranjan, I. Prodanov and L. Stoyanov, Topological groups, in: E. Taft and Z. Nashed, Eds., Pure and Applied Mathematics, Vol. 130 (Marcel Dekker, New York, 1989).
10. [10] D. Dikranjan and W. Tholen, Categorical structure of closure operators with applications to topology, algebra and discrete mathematics, in: Mathematics and its Applications (Kluwer Academic Publishers, Dordrecht, to appear).
11. [11] P.J. Freyd and G.M. Kelly, Categories of continuous functors I, J. Pure Appl. Algebra 2 (1972) 169-191; erratum, ibid. 4 (1974) 121.
12. [11] P.J. Freyd and G.M. Kelly, Categories of continuous functors I, J. Pure Appl. Algebra 2 (1972) 169-191; erratum, ibid. 4 (1974) 121.
13. [12] R.E. Hoffmann, Factorization of cones, Math. Nachr. 87 (1979) 221-238.
14. [13] G.B. Im and G.M. Kelly, On classes of morphisms closed under limits, J. Korean Math. Soc. 23 (1986) 1-18.
15. [14] J. Isbell, Epimorphisms and dominions, Proc. Conf. Categorical Algebra, La Jolla, 1965 (Springer, Berlin, 1966) 232-246.
16. [15] S. Salbany, Reflective subcategories and closure operators, Lecture Notes in Mathematics, Vol. 540 (Springer, Berlin, 1975) 548-565.
17. [16] T. Soundararajan, Totally dense subgroups of topological groups, General Topology and its Relation to Modern Analysis and Algebra III, Proc. Kanpur Topological Conf., Academia, Prague (1968) 299-300.
18. [17] B. Stenström, Rings of Quotients, Vol. 217 (Springer, Berlin, 1975).
19. [18] W. Tholen, Semitopological functors I, J. Pure Appl. Algebra 15 (1979) 53-73.
20. [19] W. Tholen, Closure operators, Workshop on Universal Algebra and Category Theory, Mathematical Sciences Research Institute, Berkeley, 1993.
21. [20] A. Tonolo, Denseness and closedness with respect to a closure operator, Conf. on Recent Developments of General Topology and its Applications, Berlin, 1992.
22. [21] A. Tonolo, Total C-denseness, submitted to Comm. Algebra.
23. [22] V. Uspenskiǐ, The epimorphism problem for Hausdorff topological groups, Topology Appl. 57 (1994) 287-294.
24. [23] V. Uspenskiǐ, Epimorphisms of topological groups and Z-sets in the Hilbert cube, preprint.