Hausdorff CCC spaces with countable centered local π-bases at each point satisfy |X| ≤ 𝔠, strictly improving Hajnal-Juhász 1967 and Pospíšil 1937.
and Hruˇs´ak, M.,Topology of Mr ´owka-Isbell spaces, Pseudocompact topological spaces, 253–289, Dev
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On centered local $\pi$-bases
Hausdorff CCC spaces with countable centered local π-bases at each point satisfy |X| ≤ 𝔠, strictly improving Hajnal-Juhász 1967 and Pospíšil 1937.