Quasi-continuous function

Quasi-bases and Weights of Quasicontinuous Domains;

拟连续Domain的拟基及其权

Some Topological Properties of Quasicontinuous Domains;

拟连续Domain的若干拓扑性质(英文)

In this paper we prove that (1) The category of distributive generalized completely lattices and the category of quasicontinuous domains (both endowed with suitable morphisms) are equivalent,and (2) Any bounded-complete quasicontinuous domain with its Scott topology forms a maximal limit space.

本文证明了(1)在合适的态射下,拟连续domain范畴与广义完全分配范畴等价;(2)对有界完备的拟连续domain P,(P,σ(P))为极大极限空间。