quasiorders, principal topologies, and partially ordered partitions

quasiorders, principal topologies, and partially ordered partitions

;Thomas A. Richmond
structural engineering and mechanics 1998 Vol. 21 pp. 221-234
82
richmond1998internationalquasiorders,

Abstract

The quasiorders on a set X are equivalent to the topologies on X which are closed under arbitrary intersections. We consider the quaisorders on X to be partial orders on the blocks of a partition of X and use this approach to survey some fundamental results on the lattice of quasiorders on X.

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