Article
Keywords:
resolvability; irresolvability; structure resolvability; Borel resolvability
Summary:
We introduce the general notion of structure resolvability and structure irresolvability, generalizing the usual concepts of resolvability and irresolvability.
References:
                        
[2] El'kin A.G.: 
Resolvable spaces which are not maximally resolvable. Vestnik Moskov. Univ. Ser. 1 Mat. Meh. 24 (1969), 66-70. 
MR 0256331 | 
Zbl 0183.51204[3] Illanes A.: 
Finite and $ømega$-resolvability. Proc. Amer. Math. Soc. (1996), 124 1243-1246. 
MR 1327020 | 
Zbl 0856.54010[4] Comfort W.W., Garcia-Ferreira S.: 
Resolvability: a selective survey and some new results. Topology Appl. (1996), 74 149-167. 
MR 1425934 | 
Zbl 0866.54004[5] Comfort W.W., van Mill J.: 
Groups with only resolvable group topologies. Proc. Amer. Math. Soc. (1994), 120 687-696. 
MR 1209097 | 
Zbl 0820.22001[6] Malykhin V.I.: 
Maximal resolvability of bounded groups. to appear in Russian in Mat. Zametki. 
Zbl 0866.54032[7] Kuratowski K.: 
General Topology. Academic Press, New York (1966). 
MR 0217751[8] Malykhin V.I.: Extremally disconnected and nearly extremally disconnected groups. Soviet Math. Dokl. 16 (1975), 21-25.
[9] Katětov M.: 
On topological spaces containing no disjoint dense sets. Mat. Sb. 21 (63) (1947), 3-12. 
MR 0021679[10] Ceder J.: 
On maximally Borel resolvable spaces. Revue Roumaine de Mathematiques Pures and Appl. 11 (1966), 89-94. 
MR 0206900 | 
Zbl 0158.41501[11] Comfort W.W., Li Feng: 
The union of resolvable spaces is resolvable. Math. Japonica 38 (1993), 413-414. 
MR 1221007 | 
Zbl 0769.54002[12] Efimov B.A.: 
Dyadic compacta (in Russian). Trudy Moscow Math. Soc. 14 (1965), 211-247. 
MR 0202105