A Space with a Lusin $\pi$-Base Whose Square Has No Lusin $\pi$-Base
Keywords:
Baire space, Lusin $\pi$-base, Lusin scheme, $\pi$-tree, product of topological spaces, Sorgenfrey line, Souslin schemeAbstract
We construct a space $X$ that has a Lusin $\pi$-base and such that $X^2$ has no Lusin $\pi$-base.
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