Quasiorders, principal topologies, and partially ordered partitions

Thomas A. Richmond

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-14

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 .

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:529323

DOI: 10.1155/S0161171298000325

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