Abstract
We study the lattice structure of the set $ \Omega (X)$ of all $T_1$-$L$ topologies on a given set $X$. It is proved that $\Omega ( X ) $ has dual atoms (anti atoms) if and only if membership lattice $L$ has dual atoms (anti atoms). Some other properties of this lattice are also discussed.
Citation
Raji George. T. P. Johnson. "Lattice Properties of $T_1-L$ Topologies." Missouri J. Math. Sci. 24 (2) 190 - 194, November 2012. https://doi.org/10.35834/mjms/1352138564
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