Abstract: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 $|X|\leq 2^{\chi (X)\text {wcd}(X)}$.
Keywords: cardinal functions, $\tau \theta $-closed sets, $w$-compactness degree
AMS Subject Classification: 54A25, 54D20