Duallity in I-contact algebra

In topological space, the notions such as convergence and compactness can be characterized in terms of ultrafilters. Also, the concept of clusters, as their counterparts, may be considered as a primitive concept in proximity space. Duality is an alternate way of studying proximity spaces, in which the notion of ends is dual of clusters. In this paper, we define concepts of end and round filter for I-contact algebra and prove that clusters and ends are dual concepts in a similar way to that in the proximity space.

Duallity in I-contact algebra Keywords:

I-contact algebra , Proximity space , Cluster , Ultrafilter