The structure of sub-, pseudo- and quasimaximal spaces is investigated. \linebreak A method of constructing non-trivial quasimaximal spaces is presented.
@article{118998,
author = {J. Schr\"oder},
title = {On sub-, pseudo- and quasimaximal spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {39},
year = {1998},
pages = {197-206},
zbl = {0937.54001},
mrnumber = {1623022},
language = {en},
url = {http://dml.mathdoc.fr/item/118998}
}
Schröder, J. On sub-, pseudo- and quasimaximal spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 197-206. http://gdmltest.u-ga.fr/item/118998/
A problem of set theoretic topology, Duke Math. J. 10 (1947), 309-333. (1947) | MR 0008692
General Topology, Part 1, Addison-Wesley Publishing Company, Reading, Massachusetts, 1966. | Zbl 0301.54001
Maximal topologies, J. Austral. Math. Soc. 15 (1973), 279-290. (1973) | MR 0324646 | Zbl 0267.54018
A survey of maximal topological spaces, Topology Proc. 2 (1977), 11-60. (1977) | MR 0540596
General Topology, PWN, Warszawa, 1977. | MR 0500780 | Zbl 0684.54001
Maximal connected Hausdorff topologies, Topology Proc. 2 (1977), 349-353. (1977)
Applications of maximal topologies, Topology Appl. 51 (1993), 125-139. (1993) | MR 1229708 | Zbl 0845.54028
On submaximal spaces, Topology Appl. 64 (1995), 219-241. (1995) | MR 1342519
On submaximal spaces, Tamkang J. Math. 26 (1995), 243-250. (1995) | MR 1365714 | Zbl 0835.54026
Resolvability, a selective survey and some new results, Topology Appl. 74 (1996), 149-167. (1996) | MR 1425934 | Zbl 0866.54004
Almost all submaximal groups are paracompact and $\sigma$-discrete, preprint. | Zbl 0904.54027