Large filters of quasiorder lattices can be generated by few elements
Abstract
For a poset (P;≤), the quasiorders (AKA preorders) extending the poset order "≤" form a complete lattice F, which is a filter in the lattice of all quasiorders of the set P. We prove that if the poset order "≤" is small, then F can be generated by few elements.
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