Article
Keywords:
resolvability; maximal resolvability; countable fan-tightness; weakly Fr' echet-Urysohn property; empty interior tightness; disjoint tightness
Summary:
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.
References:
[1] Arhangel'skiĭ A.V.:
Hurewicz spaces, analytic sets and fan-tightness of spaces of functions. Soviet Math. Dokl. 33 (1986), 396-399.
MR 0119188
[2] 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
[3] Comfort W.W., García-Ferreira S.:
Resolvability: a selective survey and some new results. Topology Appl. 74 (1996), 1-19.
MR 1425934
[6] Malykhin V.I., Tironi G.: Weakly Fréchet-Urysohn spaces. preprint.
[7] Pytke'ev E.G.: On maximally resolvable spaces. Proc. Steklov Institute of Mathematics (1984), 154 225-230.
[8] Sharma P.L., Sharma S.:
Resolution properties in generalized $k$-spaces. Topology Appl. 29 (1989), 61-66.
MR 0944069