Geodesic
An Ultrafilter Completion of a Nearness Space
Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 13-22

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An ultrafilter completion is constructed for a nearness space. It is shown to preserve the Tl separation axiom. Characterizing conditions are given for it to be topological or for its topology to be compact. It is shown to have the simple extension topology and for a given Hausdorff space a compatible nearness structure is found for which its ultrafilter completion is homeomorphic to the Katetov H-closed extension.
DOI : 10.4153/CMB-1981-002-4
Mots-clés : 54-02, 54A05, 54B99, 54D99, 54E05, Nearness space, Ultrafilter Complete, Reflective Subcategory, H-closed 
Carlson, John W. An Ultrafilter Completion of a Nearness Space. Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 13-22. doi: 10.4153/CMB-1981-002-4
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     title = {An {Ultrafilter} {Completion} of a {Nearness} {Space}},
     journal = {Canadian mathematical bulletin},
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     year = {1981},
     volume = {24},
     number = {1},
     doi = {10.4153/CMB-1981-002-4},
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