Article ID Journal Published Year Pages File Type
435749 Theoretical Computer Science 2008 12 Pages PDF
Abstract

We study a special topology on Z2 and show that both the Marcus topology and the Khalimsky topology and also one more digital topology on Z2 may be obtained as three of its quotient topologies. A quotient closure operator of the topology studied is discussed, too, and an analogue of the Jordan curve theorem for this closure operator is proved.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics