A Homotopy Complementation Formula for Partially Ordered Sets

Baclawski, 1977, Galois connections and the Leray spectral sequence, Advances in Math, 25, 191, 10.1016/0001-8708(77)90073-1

Baclawski, 1979, Fixed points in partially ordered sets, Advances in Math, 31, 263, 10.1016/0001-8708(79)90045-8

Baclawski, 1981, Fixed points and complements in finite lattices, J. Combinatorial Theory Ser. A, 30, 335, 10.1016/0097-3165(81)90030-3

Birkhoff, 1967, Lattice Theory

Björner, 1980, Shellable and Cohen-Macaulay partially ordered sets, Trans. Amer. Math. Soc, 260, 159, 10.2307/1999881

Björner, 1981, Homotopy type of posets and lattice complementation, J. Combinatorial Theory Ser. A, 30, 90, 10.1016/0097-3165(81)90042-X

Crapo, 1966, The Möbius function of a lattice, J. Combinatorial Theory, 1, 126, 10.1016/S0021-9800(66)80009-1

Folkman, 1966, The homology groups of a lattice, J. Math. Mech, 15, 631

Lakser, 1971, The homology of a lattice, Discrete Math, 1, 187, 10.1016/0012-365X(71)90024-0

Lundell, 1969

Quillen, 1978, Homotopy properties of the poset of non-trivial p-subgroups of a group, Advances in Math, 28, 101, 10.1016/0001-8708(78)90058-0

Rota, 1964, On the foundations of Combinatorial Theory I: Theory of Möbius functions, Z. Wahrscheinlich-keitstheorie and Verw. Gebiete, 2, 340, 10.1007/BF00531932

Spanier, 1966

Stanley, 1972, Supersolvable lattices, Algebra Universalis, 2, 191, 10.1007/BF02945028

Walker, 1981, Homotopy type and Euler characteristic of partially ordered sets, Europ. J. Combinatorics, 2, 373, 10.1016/S0195-6698(81)80045-5