A bound for the weak Lindelöf number of the Gδ-modification of a Hausdorff space implies Arhangel'skii's |X| ≤ 2^{L(X)χ(X)} and Hajnal-Juhasz's |X| ≤ 2^{c(X)χ(X)}.
Arhangel’ski ˘ ı,A generic theorem in the theory of cardinal invariants of topological spaces, Comment
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A common extension of Arhangel'skii's Theorem and the Hajnal-Juhasz inequality
A bound for the weak Lindelöf number of the Gδ-modification of a Hausdorff space implies Arhangel'skii's |X| ≤ 2^{L(X)χ(X)} and Hajnal-Juhasz's |X| ≤ 2^{c(X)χ(X)}.