Complements of topologies with short specialization quasiorders
Keywords:
Alexandroff space, specialization quasiorder, complement, door space, submaximal space, Whyburn spaceAbstract
By identifying a topology $\tau$ on a finite set $X$ with its specialization quasiorder $\leq$, we investigate the complements of $\tau$ in the lattice of topologies on $X$ in cases where the heights of the specialization posets are small.
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