Document Type
Article
Publication Date
1-1-2005
Abstract
Domain theory, in theoretical computer science, needs to be able to handle function spaces easily. It also requires asymmetric spaces, and these are necessarily not T1. At the same time, techniques used with the higher separation axioms are useful there (see [Topology Appl. 199 (2002) 241]). In order to handle all these requirements, we develop a theory of k-bispaces using bitopological spaces, which results in a Cartesian closed category. The other well-known way to combine asymmetry and separation is ordered topological spaces [Nachbin, Topology and Order, Van Nostrand, 1965]; we define the category of ordered k-spaces, which is isomorphic to that found among bitopological spaces. © 2004 Elsevier B.V. All rights reserved.
Publication Source (Journal or Book title)
Topology and its Applications
First Page
385
Last Page
396
Recommended Citation
Kopperman, R., & Lawson, J. (2005). Bitopological and topological ordered k-spaces. Topology and its Applications, 146-147, 385-396. https://doi.org/10.1016/j.topol.2003.06.003