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Left Separated Spaces With Point-Countable Bases

Left Separated Spaces With Point-Countable Bases

Theorem 2.2 lists properties equivalent to left separated spaces in the class of ${T_1}$ with point-countable bases, with examples preventing plausible additions to this list. For example, $X$ is left iff $X$ is $\sigma$-weakly separated or $X$ has a closure preserving cover by countable closed sets, but $X$ is left …