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- W2007258041 abstract "We study a class of lattices called weak*complemented lattices which are shown to have the property that the order complex of any interval of the lattice is either contractible or homotopy equivalent to a sphere. The two main examples are lattices generated by intervals in a total order and the lattices of partitions of integers under dominance order. The proofs are done mainly using homotopy complementation formulas for lattices and with a method called B-labeling. We also show that a class of lattices called Greene lattices are either contractible or spherical. Lattices generated by multisets are also discussed." @default.
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- W2007258041 date "1999-04-01" @default.
- W2007258041 modified "2023-09-27" @default.
- W2007258041 title "A Class of Lattices Whose Intervals are Spherical or Contractible" @default.
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- W2007258041 doi "https://doi.org/10.1006/eujc.1999.0289" @default.
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