quasiorders, principal topologies, and partially ordered partitions
;Thomas A. Richmond
structural engineering and mechanics1998Vol. 21pp. 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.