| Title:
|
On modifications of topologies without axioms (English) |
| Author:
|
Šlapal, Josef |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
24 |
| Issue:
|
3 |
| Year:
|
1988 |
| Pages:
|
99-110 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54A05 |
| MSC:
|
54A10 |
| idZBL:
|
Zbl 0681.54002 |
| idMR:
|
MR983228 |
| . |
| Date available:
|
2008-06-06T06:18:50Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107317 |
| . |
| Reference:
|
[1] D. Adnadževič: A-complements of topological spaces.(Russian), Math. Balcanica 4 (1974), 9-12. MR 0420527 |
| Reference:
|
[2] C. E. Aull, W. J. Thron: Separation axioms between $T_0$ and $T_1$.Indag. Math. 24 (1962), 26-37. MR 0138082 |
| Reference:
|
[3] S. L. Bloom, D. J. Brown: Classical abstract logics.Dissert. Math. CII (1973), 43-52. Zbl 0317.02072, MR 0446967 |
| Reference:
|
[4] N. Bourbaki: Topologie générale.p. 1., II. ed., Paris, 1951. |
| Reference:
|
[5] D. J. Brown, R. Suszko: Abstract logics.Dissert. Math. CII (1973), 5-41. Zbl 0317.02071 |
| Reference:
|
[6] E. Čech: Topological spaces.(Revised by Z. Frolík and M. Katětov), Academia, Prague, 1966. MR 0211373 |
| Reference:
|
[7] E. Čech: Topological papers of Eduard Čech.ch. 28, Academia, Prague, 1968, 436-472. MR 0248705 |
| Reference:
|
[8] J. Chvalina: On the number of general topologies on a finite set.Scripta Fac. Sci. Nat. UJEP Brno, Math. I, 3 (1973), 7-22. Zbl 0294.54003, MR 0363926 |
| Reference:
|
[9] A. S. Davis: Indexed systems of neighborhoods for general topological spaces.Amer. Math. Monthly 68 (1961), 886-893. Zbl 0106.15504, MR 0214017 |
| Reference:
|
[10] P. C. Hammer: Extended topology: set-valued set-functions.Nieuw Arch. Wisk. X (1962), 55-77. Zbl 0108.35306, MR 0176433 |
| Reference:
|
[11] J. Hanák: Game-theoretical approach to some modifications of generalized topologies.Gen. Topology and its Relations to Modern Analysis and Algebra, Prague, 1971, 173-179. MR 0390986 |
| Reference:
|
[12] K. Koutský: O některých modifikacích dané topologie.Rozpravy II. třídy České akademie 48 (1938), n. 22, 1-13. |
| Reference:
|
[13] K. Koutský: Určenost topologických prostorů pomoci úplných systémů okolí bodů.Spisy přír. fak. MU Brno č. 374 (1956), 1-11. |
| Reference:
|
[14] K. Koutský, M. Sekanina: On the R-modification and several other modifications of a topology.Publ. Fac. Sci. Univ. Brno, No. 410 (1960), 45-64. MR 0176435 |
| Reference:
|
[15] K. Koutský, M. Sekanina: On the systems of topologies with a given modification.Publ. Fac. Sci. Univ. Brno 418 (1960), 425-464. MR 0176436 |
| Reference:
|
[16] K. Koutský V. Polák, M. Sekanina: On the commutativity of the modifying.Publ. Fac. Sci. Univ. Brno 454, ser. A26 (1964), 275-292. MR 0196696 |
| Reference:
|
[17] F. Lorrain: Notes on topological spaces with minimum neighborhoods.Amer. Math. Monthly 76 (1969), 616 - 627. Zbl 0207.21201, MR 0248715 |
| Reference:
|
[18] V. Polák N. Poláková, M. Sekanina: Remarks to inner constellation in topological spaces.Publ. Fac. Sci. Univ. Brno 507 (1969), 317-332. MR 0295273 |
| Reference:
|
[19] M. Sekanina: Systems of topologies on a given set.(Russian), Czech. Math. Journ. 15 (1965), 9-29. MR 0184193 |
| Reference:
|
[20] W. Sierpiński: Introduction to general topology.Toronto, 1934. |
| Reference:
|
[21] R. Wojcicki: Some remarks on the consequence operation in sentential logics.Fund. Math. LXVIII (1970), 269-279. Zbl 0206.27401, MR 0266747 |
| . |
