Tightness and resolvability
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 1, pp. 177-184
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.
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.
Classification :
54A10, 54A25, 54C05
Keywords: resolvability; maximal resolvability; countable fan-tightness; weakly Fr' echet-Urysohn property; empty interior tightness; disjoint tightness
Keywords: resolvability; maximal resolvability; countable fan-tightness; weakly Fr' echet-Urysohn property; empty interior tightness; disjoint tightness
@article{CMUC_1998_39_1_a17,
author = {Bella, A. and Malykhin, V. I.},
title = {Tightness and resolvability},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {177--184},
year = {1998},
volume = {39},
number = {1},
mrnumber = {1623014},
zbl = {0936.54004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_1_a17/}
}
Bella, A.; Malykhin, V. I. Tightness and resolvability. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 1, pp. 177-184. http://geodesic.mathdoc.fr/item/CMUC_1998_39_1_a17/