resolvability; maximal resolvability; countable fan-tightness; weakly Fr' echet-Urysohn property; empty interior tightness; disjoint tightness
We prove resolvability and maximal resolvability of topological spaces having countable tightness with some additional properties. For this purpose, we introduce some new versions of countable tightness. We also construct a couple of examples of irresolvable spaces.
 Arhangel'skiĭ A.V.: Hurewicz spaces, analytic sets and fan-tightness of spaces of functions
. Soviet Math. Dokl. 33 (1986), 396-399. MR 0119188
 Arhangel'skiĭA.V., Bella A.: Countable fan-tightness versus countable tightness
. Comment. Math. Univ. Carolinae 37 \number 3 (1996), 565-576. MR 1426921
| Zbl 0881.54005
 Comfort W.W., García-Ferreira S.: Resolvability: a selective survey and some new results
. Topology Appl. 74 (1996), 1-19. MR 1425934
 Malykhin V.I., Tironi G.: Weakly Fréchet-Urysohn spaces. preprint.
 Pytke'ev E.G.: On maximally resolvable spaces. Proc. Steklov Institute of Mathematics (1984), 154 225-230.
 Sharma P.L., Sharma S.: Resolution properties in generalized $k$-spaces
. Topology Appl. 29 (1989), 61-66. MR 0944069