@article{ARM_1975_11_2_a4,
author = {Rosick\'y, Ji\v{r}{\'\i}},
title = {Modular, distributive and simple intervals of the lattice of topologies},
journal = {Archivum mathematicum},
pages = {105--114},
year = {1975},
volume = {11},
number = {2},
mrnumber = {0410621},
zbl = {0347.54006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_1975_11_2_a4/}
}
Rosický, Jiří. Modular, distributive and simple intervals of the lattice of topologies. Archivum mathematicum, Tome 11 (1975) no. 2, pp. 105-114. http://geodesic.mathdoc.fr/item/ARM_1975_11_2_a4/
[1] C. E. Aull, W. J. Thron: Separation axioms between $T_0$ and $T_1$. Nederl. akad. Wetensch. Proc. Ser. A 65 = Indag. Math. 24 (1962), 26-37. | MR
[2] R. W. Bagley, D. Ellis: On the topolattice and permutation group of an infinite set. Math.. Japon. 3 (1954), 63-70. | MR
[3] N. Bourbaki: Topologie générale. Paris. | Zbl
[4] A. M. Carstens: The lattice of pretopologies on an arbitrary set S. Pac Jour. Math. 29 (1969),, 67-71. | MR | Zbl
[5] E. Čech: Topological spaces. Prague 1966. | MR
[6] Ph. Dwinger: On the lattice of the closure operators of a complete lattice. Nieuw Arch. Wisk. (4), IV (1956), 112-117. | MR | Zbl
[7] A. G. Eľkin: Ultrafiltry i nerazložimyje prostranstva. Vest. Mosk. Univ., Ser. I, 24, No 5 (1969), 51-56. | MR
[8] O. Fröhlich: Das Halbordnungssystem der topologischen Räume auf einer Menge. Math. Ann. 156 (1964), 79-95. | MR
[9] J. Hartmanis: On the lattice of topologies. Can. Jour. Math. 10 (1958), 547-553. | MR | Zbl
[10] E. Hewitt: A problem of set-theoretic topology. Duke math. J. 10 (1943), 309-333. | MR | Zbl
[11] H. J. Kowalsky: Topological spaces. New York, London 1965.
[12] R. E. Larson: Minimal $T_0$-spaces and minimal $T_D$-spaces. Pac. Jour. Math. 31 (1969), 451-458. | MR
[13] R. E. Larson, S. J. Zimmerman: The lattice of topologies: A survey. to appear.
[14] J. Rosický: Topologies compatible with ordering. Publ. Fac. Sci. Univ. Brno, 1971, 9-23. | MR
[15] J. Rosický: Relative Komplemente im Verband der $T_1$-Topologien. Publ. Fac. Sci. Univ. Brno, 518 (1970), 445-460. | MR
[16] J. Rosický: Embeddings of lattices in the lattice of topologies. Arch. Math. Brno, to appear. | MR
[17] M. Sekanina: Sistěmy topologij na dannom množestve. Czech. Math. Jour. T 15 (90), 1965, 9-29.
[18] A. K. Steiner: The lattice of topologies: Structure and complementation. Trans. Amer. Math. Soc. 122 (1966), 379-398. | MR | Zbl
[19] G. Szasz: Einführung in die Verbandstheorie. Budapest 1962. | MR | Zbl
[20] R. Valent, R. E. Larson: Basic Intervals in the Lattice of Topologies. Duke Math. J. 39 (1972), 401-411. | MR | Zbl