Two cardinal inequalities for functionally Hausdorff spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 2, pp. 365-369
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In this paper, two cardinal inequalities for functionally Hausdorff spaces are established. A bound on the cardinality of the $\tau \theta $-closed hull of a subset of a functionally Hausdorff space is given. Moreover, the following theorem is proved: if $X$ is a functionally Hausdorff space, then $|X|\leq 2^{\chi (X)\text{\it wcd}(X)}$.
In this paper, two cardinal inequalities for functionally Hausdorff spaces are established. A bound on the cardinality of the $\tau \theta $-closed hull of a subset of a functionally Hausdorff space is given. Moreover, the following theorem is proved: if $X$ is a functionally Hausdorff space, then $|X|\leq 2^{\chi (X)\text{\it wcd}(X)}$.
Classification :
54A25, 54D10, 54D20
Keywords: cardinal functions; $\tau \theta $-closed sets; $w$-compactness degree
Keywords: cardinal functions; $\tau \theta $-closed sets; $w$-compactness degree
@article{CMUC_1994_35_2_a17,
author = {Fedeli, Alessandro},
title = {Two cardinal inequalities for functionally {Hausdorff} spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {365--369},
year = {1994},
volume = {35},
number = {2},
mrnumber = {1286584},
zbl = {0807.54006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1994_35_2_a17/}
}
Fedeli, Alessandro. Two cardinal inequalities for functionally Hausdorff spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 2, pp. 365-369. http://geodesic.mathdoc.fr/item/CMUC_1994_35_2_a17/