| Tartalmi leírás: |
By H. Strietz, 1975, and G. Czédli, 1996, the complete lattice Equ(A) of all equivalences is four-generated, provided the size A is an accessible cardinal. Results of I. Chajda and G. Czédli, 1996, G. Takách, 1996, T. Dolgos, 2015, and J. Kulin, 2016, show that both the lattice Quo(A) of all quasiorders on A and, for .4) < Ho, the lattice Tran(.4) of all transitive relations on A have small generating sets. Based on complicated earlier constructions, we derive some new results in a concise but not self-contained way.
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