| Title:
|
Realizations of topologies and closure operators by set systems and by neighbourhoods (English) |
| Author:
|
Herrlich, Horst |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
25 |
| Issue:
|
1 |
| Year:
|
1989 |
| Pages:
|
83-87 |
| . |
| Category:
|
math |
| . |
| MSC:
|
18B15 |
| MSC:
|
18B30 |
| MSC:
|
54A05 |
| MSC:
|
54B30 |
| idZBL:
|
Zbl 0705.54001 |
| idMR:
|
MR1189202 |
| . |
| Date available:
|
2008-06-06T06:19:57Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107342 |
| . |
| Reference:
|
[1] J. Adámek: Theory of Mathematical Structures.D. Reidel, Dordrecht, 1983. MR 0735079 |
| Reference:
|
[2] J. Chvalina: Concerning a non-realizability of connected, compact semi-separated closure operations by set-systems.Arch. Math. (Brno) 12 (1976) 45-51. Zbl 0356.54003, MR 0438266 |
| Reference:
|
[3] J. Chvalina, M. Sekanina: Realizations of closure spaces by set systems.Gen. Topol. Rel. Mod. Anal. Algebra III (Proc. III. Prague Top. Symp. 1971), Academia, Prague, 1972, 85-87. MR 0355942 |
| Reference:
|
[4] V. Kannan, M. Rajagopalan: Constructions and applications of rigid spaces I.Advances Math. 29 (1978), 89-130. Zbl 0403.54030, MR 0501093 |
| Reference:
|
[5] V. Koubek: Each concrete category has a representation by $T_2$ paracompact topological spaces.Comment. Math. Univ. Carolinae 15 (1975) 655-664. MR 0354806 |
| Reference:
|
[6] A. Pultr: On selecting of morphisms among all mappings between underlying sets of objects in concrete categories and realizations of these.Comment. Math. Univ. Carolinae 8 (1967), 53-83. Zbl 0166.27502, MR 0210764 |
| Reference:
|
[7] J. Rosický: Full embeddings with a given restriction.Comment. Math. Univ. Carolinae 14 (1973) 519-540. MR 0327866 |
| Reference:
|
[8] J. Rosický, M. Sekanina: Realizations of topologies by set systems.Coll. Math. Soc. J. Bolyai, 8. Topics in Topology (Proc. Cong. Keszthely 1972), North Holland, New York, 1974, 535-555. MR 0355945 |
| Reference:
|
[9] M. Sekanina: Embeddings of the category of partially ordered sets into the category of topological spaces.Fund. Math. 66 (1969/70) 95-98. MR 0252284 |
| Reference:
|
[10] S. Švarc: Realizations of metrizable spaces by convergence structures.Knižnice odborných a vědeckých spisů VUT v Brně, svazek B-56 (1975) 95-99. MR 0385777 |
| Reference:
|
[11] V. Trnková: Non-constant continuous mappings of metric or compact Hausdorff spaces.Comment. Math. Univ. Carolinae 13 (1972) 283-295. MR 0303486 |
| . |
