Symmetric monoidal closed structures in $\mathrm{𝑃𝑅𝐴𝑃}$

 Access to full text

 Full (PDF)

1. [1] Adámek, J. Herrlich, H. and Strecker, G.Abstract and Concrete Categories, John Wiley, New York (1990) Zbl0695.18001MR1051419
2. [2] Banaschewski, B. and Nelson, E.Tensorproducts and Bimorphisms, Canad. Math. Bull., 19(4) (1976), pp. 385-402 Zbl0392.18003MR442059
3. [3] Borceux, F.Handbook of Categorical Algebra I, II, III, Encyclopedia of Mathematics Vol. 50, 51, 52, Cambridge University Press (1994) Zbl0911.18001
4. [4] Brock, P. and Kent, D. C. Approach Spaces, Limit Tower Spaces and Probabilistic Metric Spaces, Appl. Categ. Struct., 5 (1997), pp. 99-110 Zbl0885.54008MR1456517
5. [5] Činčura, J.On a Tensorproduct in Initially Structured Categories, Math. Slovaca, 29(3) (1979), pp. 245-255 Zbl0419.18001MR561624
6. [6] Eilenberg, S. and Kelley, G.M.Closed Categories, Proc. Conf. on Categorical Algebra, La Jolla1965, Springer Verlag, New-York (1966), pp. 421-562 Zbl0192.10604MR225841
7. [7] Herrlich, H. and Lowen, R.On Simultaneously Reflective and Coreflective Sub-constructs, to appear in G.C.L. Brümmer Festschrift Zbl0986.18005
8. [8] Kannan, V.Reflexive cum Coreflexive Subcategories in Topology, Math. Ann., 195 (1972), pp. 168-174 Zbl0215.09701MR291048
9. [9] Logar, A. and Rossi, F.Monoidal Closed Structures on Categories with Constant Maps, J. Australian Math. Soc. (Ser. A), 38 (1985), pp. 175-185 Zbl0584.18004MR770124
10. [10] Lowen, E. and Lowen, R.Characterization of Convergence in Fuzzy Topological Spaces, Internat. J. Math. Math. Sci., 8(3) (1985), pp. 497-511 Zbl0593.54005MR809071
11. [11] Lowen, E. and Lowen, R.A Quasi-topos Containing CONV and MET as Full Subcategories, Int. J. Math. Math. Sci., 11 (1988), pp. 417-438 Zbl0672.54003MR947271
12. [12] Lowen, E. and Lowen, R.Topological Quasitopos Hulls of Categories Containing Topological and Metric Objects, Cah. Top. Géom. Diff. Catég., 30 (1989), pp. 213-238 Zbl0706.18002MR1029625
13. [13] Lowen, E., Lowen, R. and Verbeeck, C.Exponential Objects in the Construct PRAP, Cah. Top. Géom. Diff. Catég., XXXVIII(4) (1997), pp. 259-276 Zbl0888.54015MR1487961
14. [14] Lowen-Colebunders, E. and Sonck, G.Exponential Objects and Cartesian Closedness in the Construct PRTOP, Appl. Categ. Struct., 1 (1993), pp. 345-360 Zbl0796.54019MR1268508
15. [15] Lowen, R.Convergence in fuzzy topological spaces, Gen. Top. Appl., 10 (1979), pp. 147-166. Zbl0409.54008MR527841
16. [16] Lowen, R.Approach Spaces: a Common Supercategory of TOP and MET, Math. Nachr.141 (1989), pp. 183-226 Zbl0676.54012MR1014427
17. [17] Lowen, R.Approach Spaces: the Missing Link in the Topology-Uniformity-Metric Triad, Oxford Mathematical Monographs, Oxford University Press (1997) Zbl0891.54001MR1472024
18. [18] Lowen, R., Vaughan, D. and Verbeeck, C.Convergence Using Generalizations of Filters, to appear 
19. [19] MacLane, S.Natural Associativity and Commutativity, Rice Univ. Studies, 49 (1963), pp. 28-46 Zbl0244.18008MR170925
20. [20] MacLane, S.Categories for the Working Mathematician, Graduate Texts in Mathematics, Springer Verlag, New-York (1971) Zbl0705.18001MR354798
21. [21] Nel, L.D.Initially Structured Categories and Cartesian Closedness, Canad. J. Math., 27 (1975), 1361-1377 Zbl0294.18002MR393183
22. [22] Pumplün, D. DasTensorprodukt als Universelles Problem, Math. Ann., 171 (1967), pp. 247-262 Zbl0189.01706MR212067
23. [23] Wischnewsky, M.B.Aspects of Categorical Algebra in Initialstructure Categories, Cah. Top. Géom. Diff., XV (1974), pp. 419-444 Zbl0324.18002MR382389