论文信息 - Lattices, interpolation, and set theory

Lattices, interpolation, and set theory

We review a few results concerning interpolation of monotone functions on infinite lattices, emphasizing the role of set-theoretic considerations. We also discuss a few open problems.

Martin Goldstern

[1] Saharon Shelah,et al. Order polynomially complete lattices must be large , 1997 .

[2] Interpolation in ortholattices , 2000, math/0002237.

[3] Interpolation of monotone functions in lattices , 1996 .

[4] Rudolf Wille. Eine Charakterisierung endlicher, ordnungspolynomvollständiger Verbände , 1977 .

[5] M. Haviar,et al. On order-polynomial completeness of lattices , 1998 .