We introduce the general notion of structure resolvability and structure irresolvability, generalizing the usual concepts of resolvability and irresolvability.
@article{119015, author = {Rolando Jimenez and Viacheslav I. Malykhin}, title = {Structure resolvability}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {39}, year = {1998}, pages = {379-387}, zbl = {0936.54016}, mrnumber = {1651983}, language = {en}, url = {http://dml.mathdoc.fr/item/119015} }
Jimenez, Rolando; Malykhin, Viacheslav I. Structure resolvability. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 379-387. http://gdmltest.u-ga.fr/item/119015/
A problem of set-theoretic topology, Duke Math. J. 10 (1943), 309-333. (1943) | MR 0008692 | Zbl 0060.39407
Resolvable spaces which are not maximally resolvable, Vestnik Moskov. Univ. Ser. 1 Mat. Meh. 24 (1969), 66-70. (1969) | MR 0256331 | Zbl 0183.51204
Finite and $ømega$-resolvability, Proc. Amer. Math. Soc. (1996), 124 1243-1246. (1996) | MR 1327020 | Zbl 0856.54010
Resolvability: a selective survey and some new results, Topology Appl. (1996), 74 149-167. (1996) | MR 1425934 | Zbl 0866.54004
Groups with only resolvable group topologies, Proc. Amer. Math. Soc. (1994), 120 687-696. (1994) | MR 1209097 | Zbl 0820.22001
Maximal resolvability of bounded groups, to appear in Russian in Mat. Zametki. | Zbl 0866.54032
General Topology, Academic Press, New York (1966). (1966) | MR 0217751
Extremally disconnected and nearly extremally disconnected groups, Soviet Math. Dokl. 16 (1975), 21-25. (1975)
On topological spaces containing no disjoint dense sets, Mat. Sb. 21 (63) (1947), 3-12. (1947) | MR 0021679
On maximally Borel resolvable spaces, Revue Roumaine de Mathematiques Pures and Appl. 11 (1966), 89-94. (1966) | MR 0206900 | Zbl 0158.41501
The union of resolvable spaces is resolvable, Math. Japonica 38 (1993), 413-414. (1993) | MR 1221007 | Zbl 0769.54002
Dyadic compacta (in Russian), Trudy Moscow Math. Soc. 14 (1965), 211-247. (1965) | MR 0202105