CONTENTS I. Introduction............................................................................................................................................... 5 II. Abstract lattices...................................................................................................................................... 7 III. Completely regular lattices................................................................................................................. 9 IV. Alternate characterizations of completely regular lattices............................................................. 13 V. Clusters and round filters.................................................................................................................... 16 VI. Characterization of the family of clusters and the family of maximal round filters................... 22 VII. The structure of the partially ordered set of proximity relations.................................................. 25 VIII. Compact, locally compact, and normal lattices............................................................................ 31 Bibliography................................................................................................................................................ 38
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