It is proved that every uncountable $\omega$-bounded group and every homogeneous space containing a convergent sequence are resolvable. We find some conditions for a topological group topology to be irresolvable and maximal.
@article{118786, author = {Luis Miguel Villegas-Silva}, title = {On resolvable spaces and groups}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {36}, year = {1995}, pages = {579-584}, zbl = {0837.22001}, mrnumber = {1364498}, language = {en}, url = {http://dml.mathdoc.fr/item/118786} }
Villegas-Silva, Luis Miguel. On resolvable spaces and groups. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 579-584. http://gdmltest.u-ga.fr/item/118786/
On connected irresolvable Hausdorff spaces, Proc. Amer. Math. Soc. 16 (1965), 463-466. (1965) | MR 0178443 | Zbl 0127.13003
On the combinatorial principle $P(c)$, Fund. Math. 114 (1981), 149-157. (1981) | MR 0643555
Ultrafilters on a countable set, Ann. Pure Appl. Logic (1970), 1-24. (1970) | MR 0277371 | Zbl 0231.02067
The union of resolvable space is resolvable, preprint, 1993. | MR 1221007
manuscript in preparation, 1900, .
Proper pseudocompact subgroups of pseudocompact Abelian groups, preprint, 1993. | Zbl 0915.54029
Groups with only resolvable topologies, preprint, 1993.
Resolvability in topology and in topological groups, Proc. Ninth (June 1993) Summer Topology Conference, Ann. New York Acad. Sci., to appear. | MR 1462378
On weakly pseudocompact spaces, Houston J. Math. 20 (1994), 145-159. (1994) | MR 1272568
On topological groups close to being Lindelöf, Soviet Math. Dokl. 23 (1981), 173-175. (1981) | Zbl 0478.22002
A problem of set-theoretic topology, Duke Math. J. 10 (1943), 309-333. (1943) | MR 0008692 | Zbl 0060.39407
Sur un article de S. Sirota, Bull. Sci. Math. (2) 96 (1972), 3-7. (1972) | MR 0308326 | Zbl 0228.54032
Extremally disconnected and similar groups, Soviet Math. Dokl. 16 (1975), 21-25. (1975) | Zbl 0322.22003
An example of a connected irresolvable Hausdorff spaces, Duke Math. J. 20 (1953), 513-520. (1953) | MR 0059539