Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A concise approach to small generating sets of lattices of quasiorders
  and transitive relations   By H. Strietz, 1975, and G. Cz\'edli, 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. Cz\'edli, 1996, G. Tak\'ach, 1996, T.
Dolgos, 2015, and J.\ Kulin 2016, show that both the lattice $Quo(A)$ of all
quasiorders on $A$ and, for $|A|\leq \aleph_0$, the lattice $Tran(A)$ 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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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn