First, we establish a useful characterization of effective sets in conditionally complete partially ordered sets. Then, we prove that each maximal nonexpansive partial multiplier on a conditionally complete and infinitely distributive partially ordered set with upper bounded centre is inner. Finally, we show that some analogous results hold for T1-families of sets partially ordered by inclusion.

A Jbre F of a partially ordered set P is a subset which intersects each nontrivial maximal antichain of P. Let I be the smallest constant such that each finite partially ordered set P contains a fibre of size at most I ‘1 PI. We show that 1, < 3 by finding a good 3-coloring of the nontrivial antichains of P. Some decision problems involving iibres are also considered. For instance, it is shown ...

I argue that patterns of case syncretism across languages can be modelled by partially, rather than totally, ordered hierarchies. Partially hierarchies avoid the need for postulating multiple instances same while retaining contiguity in representation syncretism. discuss data from three which differential object marking is syncretic with dative and show partially capture these other line some c...