Geodesic
On modifications of topologies without axioms
Archivum mathematicum, Tome 24 (1988) no. 3, pp. 99-110

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
Classification : 54A05, 54A10 
Šlapal, Josef. On modifications of topologies without axioms. Archivum mathematicum, Tome 24 (1988) no. 3, pp. 99-110. http://geodesic.mathdoc.fr/item/ARM_1988_24_3_a0/
@article{ARM_1988_24_3_a0,
     author = {\v{S}lapal, Josef},
     title = {On modifications of topologies without axioms},
     journal = {Archivum mathematicum},
     pages = {99--110},
     year = {1988},
     volume = {24},
     number = {3},
     mrnumber = {983228},
     zbl = {0681.54002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1988_24_3_a0/}
}
TY  - JOUR
AU  - Šlapal, Josef
TI  - On modifications of topologies without axioms
JO  - Archivum mathematicum
PY  - 1988
SP  - 99
EP  - 110
VL  - 24
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ARM_1988_24_3_a0/
LA  - en
ID  - ARM_1988_24_3_a0
ER  - 
%0 Journal Article
%A Šlapal, Josef
%T On modifications of topologies without axioms
%J Archivum mathematicum
%D 1988
%P 99-110
%V 24
%N 3
%U http://geodesic.mathdoc.fr/item/ARM_1988_24_3_a0/
%G en
%F ARM_1988_24_3_a0

[1] D. Adnadževič: A-complements of topological spaces. (Russian), Math. Balcanica 4 (1974), 9-12. | MR

[2] C. E. Aull, W. J. Thron: Separation axioms between $T_0$ and $T_1$. Indag. Math. 24 (1962), 26-37. | MR

[3] S. L. Bloom, D. J. Brown: Classical abstract logics. Dissert. Math. CII (1973), 43-52. | MR | Zbl

[4] N. Bourbaki: Topologie générale. p. 1., II. ed., Paris, 1951.

[5] D. J. Brown, R. Suszko: Abstract logics. Dissert. Math. CII (1973), 5-41. | Zbl

[6] E. Čech: Topological spaces. (Revised by Z. Frolík and M. Katětov), Academia, Prague, 1966. | MR

[7] E. Čech: Topological papers of Eduard Čech. ch. 28, Academia, Prague, 1968, 436-472. | MR

[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. | MR | Zbl

[9] A. S. Davis: Indexed systems of neighborhoods for general topological spaces. Amer. Math. Monthly 68 (1961), 886-893. | MR | Zbl

[10] P. C. Hammer: Extended topology: set-valued set-functions. Nieuw Arch. Wisk. X (1962), 55-77. | MR | Zbl

[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

[12] K. Koutský: O některých modifikacích dané topologie. Rozpravy II. třídy České akademie 48 (1938), n. 22, 1-13.

[13] K. Koutský: Určenost topologických prostorů pomoci úplných systémů okolí bodů. Spisy přír. fak. MU Brno č. 374 (1956), 1-11.

[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

[15] K. Koutský, M. Sekanina: On the systems of topologies with a given modification. Publ. Fac. Sci. Univ. Brno 418 (1960), 425-464. | MR

[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

[17] F. Lorrain: Notes on topological spaces with minimum neighborhoods. Amer. Math. Monthly 76 (1969), 616 - 627. | MR | Zbl

[18] V. Polák N. Poláková, M. Sekanina: Remarks to inner constellation in topological spaces. Publ. Fac. Sci. Univ. Brno 507 (1969), 317-332. | MR

[19] M. Sekanina: Systems of topologies on a given set. (Russian), Czech. Math. Journ. 15 (1965), 9-29. | MR

[20] W. Sierpiński: Introduction to general topology. Toronto, 1934.

[21] R. Wojcicki: Some remarks on the consequence operation in sentential logics. Fund. Math. LXVIII (1970), 269-279. | MR | Zbl