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Sets and FunctionsIntroduces binary relations, functions, and various types of relations in sets.
Relations in Computer ScienceExplores the properties of relations in computer science, including equivalence relations and the partition of a set.
Group Actions on LatticesExplores group actions on lattices, emphasizing GL₂(Q) and GL₂(Ag) compatibility and alternative formulations.
Möbius inversion: posetsCovers the Möbius inversion for posets, defining partially ordered sets and explaining the incidence algebra.
Relations and SequencesCovers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.