Geodesic
Some Relationships between Filters*
Canadian mathematical bulletin, Tome 10 (1967) no. 2, pp. 257-260

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A filter is a set theoretical concept and as such, its structure is independent of any topology which can be put on the given space. However, an O-filter, whose counterpart in the theory of nets is the O-nets of Robertson and Franklin [2], is defined with respect to the topology on the given space. The purpose of this paper is to give necessary and sufficient conditions for every O-filter to be an ultrafilter and for every Cauchy filter to be an O-filter. 
Baggs, Ivan. Some Relationships between Filters*. Canadian mathematical bulletin, Tome 10 (1967) no. 2, pp. 257-260. doi: 10.4153/CMB-1967-025-4
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     title = {Some {Relationships} between {Filters*}},
     journal = {Canadian mathematical bulletin},
     pages = {257--260},
     year = {1967},
     volume = {10},
     number = {2},
     doi = {10.4153/CMB-1967-025-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-025-4/}
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