Anton Brees Carillon Library Anton Brees Carillon Library The Anton Brees Carillon Library, located within the Singing Tower at Bok Tower Gardens, is home to various collections that document the history and development of the Singing Tower and Gardens, the historic Pinewood Estate, and the Guild of Carillonneurs in North America. It also contains many sources on carillon art in general. The library was created in 1968 following the death of Anton Brees, the first carillonneur at the Singing Tower. It is named in his honor. A Carillon is a musical instrument consisting of at least 23 tuned bells in chromatic series, played from
Partition of a set "coarser" than "α"—if every element of "α" is a subset of some element of "ρ". Informally, this means that "α" is a further fragmentation of "ρ". In that case, it is written that "α" ≤ "ρ". This "finer-than" relation on the set of partitions of "X" is a partial order (so the notation "≤" is appropriate). Each set of elements has a least upper bound and a greatest lower bound, so that it forms a lattice, and more specifically (for partitions of a finite set) it is a geometric lattice. The "partition lattice" of a 4-element set has 15 elements