1 |
M. Baran, and -objects in topological categories, Indian J. Pure Appl. Math. 29 (1998), no. 1, 59–69
|
2 |
M. Baran, The notion of closedness in topological categories, Comment. Math. Univ. Carolin. 34 (1993), no. 2, 383–395
|
3 |
M. Baran, A notion of compactness in topological categories, Publ. Math. Debrecen 50 (1997), no. 3-4, 221–234
|
4 |
D. Dikranjan and E. Giuli, Compactness, minimality and closedness with respect to a closure operator, Categorical topology and its relation to analysis, algebra and combinatorics (Prague, 1988), 284–296, World Sci. Publ., Teaneck, NJ, 1989
|
5 |
D. Dikranjan, E. Giuli, and A. Tozzi, Topological categories and closure operators, Quaestiones Math. 11 (1988), no. 3, 323–337
DOI
|
6 |
H. Herrlich, Topological functors, General Topology and Appl. 4 (1974), 125–142
DOI
ScienceOn
|
7 |
J. Adamek, H. Herrlich, and G. E. Strecker, Abstract and Concrete Categories, John Wiley and Sons, New York, 1990
|
8 |
M. Baran, Separation properties, Indian J. Pure Appl. Math. 23 (1992), no. 5, 333–341
|
9 |
G. Salicrup and R. Vazquez, Connection and disconnection, Categorical topology (Proc. Internat. Conf., Free Univ. Berlin, Berlin, 1978), pp. 326–344, Lecture Notes in Math., 719, Springer, Berlin, 1979. 326-344
DOI
|
10 |
M. Baran, Stacks and filters, Doga Mat. 16 (1992), no. 2, 95–108
|
11 |
M. Baran and M. Kula, A note on separation and compactness in categories of convergence spaces, Appl. Gen. Topol. 4 (2003), no. 1, 1–13
DOI
|
12 |
M. Baran and M. Kula, A note on connectedness, Publ. Math. Debrecen 68 (2006), no. 3-4, 489–501
|
13 |
N. Bourbaki, General Topology, Addison-Wesley Publ. Co., 1966
|
14 |
G. Castellini and D. Hajek, Closure operators and connectedness, Topology Appl. 55 (1994), no. 1, 29–45
DOI
ScienceOn
|
15 |
G. Castellini, Connectedness with respect to a closure operator, Appl. Categ. Structures 9 (2001), no. 3, 285–302
DOI
ScienceOn
|
16 |
M. M. Clementino, E. Giuli, and W. Tholen, Topology in a category: compactness, Portugal. Math. 53 (1996), no. 4, 397–433
|
17 |
M. M. Clementino and W. Tholen, Separation versus connectedness, Topology Appl. 75 (1997), no. 2, 143–181
DOI
ScienceOn
|
18 |
D. Dikranjan and E. Giuli, Closure operators. I, Topology Appl. 27 (1987), no. 2, 129–143
DOI
ScienceOn
|
19 |
H. Lord, Connectednesses and disconnectednesses, Papers on general topology and applications (Slippery Rock, PA, 1993), 115–139, Ann. New York Acad. Sci., 767, New York Acad. Sci., New York, 1995
DOI
|
20 |
H. Herrlich, G. Salicrup, and G. E. Strecker, Factorizations, denseness, separation, and relatively compact objects, Proceedings of the 8th international conference on categorical topology (L'Aquila, 1986). Topology Appl. 27 (1987), no. 2, 157–169
|
21 |
E. Lowen-Colebunders, Function Classes of Cauchy Continuous Maps, Monographs and Textbooks in Pure and Applied Mathematics, 123. Marcel Dekker, Inc., New York, 1989
|
22 |
E. G. Manes, Compact Hausdorff objects, General Topology and Appl. 4 (1974), 341–360
DOI
ScienceOn
|
23 |
E. R. McMillan, On continuity conditions for functions, Pacific J. Math. 32 (1970), 479–494
DOI
|
24 |
L. D. Nel, Initially structured categories and Cartesian closedness, Canad. J. Math. 27 (1975), no. 6, 1361–1377
DOI
|
25 |
G. Preuss, Theory of Topological Structures, An approach to categorical topology. Mathematics and its Applications, 39. D. Reidel Publishing Co., Dordrecht, 1988
|
26 |
W. Tholen, Factorizations, Factorizations, fibres and connectedness, Categorical topology (Toledo, Ohio, 1983), 549–566, Sigma Ser. Pure Math., 5, Heldermann, Berlin, 1984
|
27 |
J. Gerlits, I. Juhasz, L. Soukup, and Z. Szentmiklossy, Characterizing continuity by preserving compactness and connectedness, Topology Appl. 138 (2004), no. 1-3, 21–44
DOI
ScienceOn
|
28 |
M. Baran, Closure operators in convergence spaces, Acta Math. Hungar. 87 (2000), no. 1-2, 33–45
DOI
|
29 |
D. Dikranjan and W. Tholen, Categorical Structure of Closure Operators, Kluwer Academic Publishers Group, Dordrecht, 1995
|
30 |
M. Baran, Separation properties in category of filter convergence spaces, Bull. Calcutta Math. Soc. 85 (1993), no. 3, 249–254
|
31 |
F. Schwarz, Connections between convergence and nearness, Categorical topology (Proc. Internat. Conf., Free Univ. Berlin, Berlin, 1978), pp. 345–357, Lecture Notes in Math., 719, Springer, Berlin, 1979
DOI
|