Abstract
A topology $\tau$ on a non-empty set $X$ is called a complementary topology if each open set $U$ in $\tau$, its complement $X - U$ is also in $\tau$. These topologies, maximal ideals and their relation to ultrafilters were characterized by this author. In this paper, the structure of filters in $\tau$ are investigated. Finally, the ultrafilters are characterized.
Citation
Rahim G. Karimpour. "A Characterization of Ultrafilters in Complementary Topologies." Missouri J. Math. Sci. 9 (2) 95 - 101, Spring 1997. https://doi.org/10.35834/1997/0902095
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