Abstract.An algorithm for computing topological dimension is suggested and explained. Illustrative examples for the computation process are included. Semi open sets in digital topology are constructed. The concept of semi boundary of subsets in topological spaces is used in introducing a new type of dimensions, called semi inductive dimension. The digital topology on the set of integers is proved as an example for a topology whose semi inductive dimension is different from its corresponding classical inductive dimension. Some properties and characterizations of the introduced concept are obtained.

Received: July 26, 2007

AMS Subject Classification: 46A03

Key Words and Phrases: topological dimension, digital topology

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 41
Issue: 5