Abstract:

The concepts of consistently quasi-semicontinuous Domains and consistently meet-semicontinuous Domains are introduced, and some properties are given. The relations of consistently semicontinuous Domains and consistently quasi-semicontinuous Domains and consistently meet-semicontinuous Domains are discussed. Also, the equivalences of consistently meet-semicontinuous Domains are given.

Key words: consistently semicontinuous Domains; consistently quasi-semicontinuous Domains; consistently meet-semicontinuous Domains