ORDER
2008
13 years 4 months ago
2008
We give various constructions of uncountable arc-transitive bipartite graphs employing techniques from partial orders, starting with the cyclefree case, but generalizing to cases ...
ORDER
2008
13 years 4 months ago
2008
ORDER
2008
13 years 4 months ago
2008
Using duality theory, we give necessary and sufficient conditions for the MacNeille, canonical, and profinite completions of distributive lattices, Heyting algebras, and Boolean al...
ORDER
2008
13 years 4 months ago
2008
ORDER
2008
13 years 4 months ago
2008
ORDER
2008
13 years 4 months ago
2008
For a Heyting algebra A, we show that the following conditions are equivalent: (i) A is profinite; (ii) A is finitely approximable, complete, and completely join-prime generated; (...
ORDER
2008
13 years 4 months ago
2008
ORDER
2008
13 years 4 months ago
2008
Given a poset P = (X, ), a partition X1, . . . , Xk of X is called an ordered partition of P if, whenever x Xi and y Xj with x y, then i j. In this paper, we show that for ever...
ORDER
2008
13 years 4 months ago
2008
A zircon is a poset in which every principal order ideal is finite and equipped with a so-called special matching. We prove that the subposet induced by the fixed points of any aut...
ORDER
2008
13 years 4 months ago
2008