CONTENTSI. Introduction............................................................................................................................................... 5II. Abstract lattices...................................................................................................................................... 7III. Completely regular lattices................................................................................................................. 9IV. Alternate characterizations of completely regular lattices............................................................. 13V. Clusters and round filters.................................................................................................................... 16VI. Characterization of the family of clusters and the family of maximal round filters................... 22VII. The structure of the partially ordered set of proximity relations.................................................. 25VIII. Compact, locally compact, and normal lattices............................................................................ 31Bibliography................................................................................................................................................ 38
@book{bwmeta1.element.desklight-58a4fc54-2e28-4d47-8ddf-f7e14cf594bd, author = {Terrence E. Dooher and W. J. Thron}, title = {Proximities compatible with a given topology}, series = {GDML\_Books}, publisher = {Instytut Matematyczny Polskiej Akademi Nauk}, address = {Warszawa}, year = {1970}, zbl = {0245.54020}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.desklight-58a4fc54-2e28-4d47-8ddf-f7e14cf594bd} }
Terrence E. Dooher; W. J. Thron. Proximities compatible with a given topology. GDML_Books (1970), http://gdmltest.u-ga.fr/item/bwmeta1.element.desklight-58a4fc54-2e28-4d47-8ddf-f7e14cf594bd/