Connectedness Among the Pixels at the Product Digital Topology

Abstract

The aim of this paper is to analyze at the concepts connectedness of the separated interior circles at the pixels at the product digital topology with the axioms C1, C2, C3 in the cartesian complex and also at the structure of the elements at the collections of the pixels and interior circles in that region.

Introduction

IV. Acknowledgment

Mrs. R. Buvaneswari is currently working as Assistant professor at Department of Mathematics in Cauvery College for Women, Tiruchirappalli, Tamil Nadu, India. She has published 18 research papers in both reputed and international journals. Her areas of interest are General Topology and Soft Topology. She has 8 years of teaching experiences.

Conclusion

Further work, at the connectedness among the pixels and interior circles will be extended upto the concepts compactness at the product digital topology with the axioms C1, C2, C3 in the cartesian complex.

References

[1] Buvaneswari. R, A study on topological framework via digital topology, Journal of applied science and computations, volume VIII, issue IV, April (2021) [2] Efilm Khalimsky, Ralph Kopperman and Paul R Meyer, Computer Graphics and Connected Topologies on Finite Ordered Sets, Topology and its Applications, 36, 1-7, (1990). [3] J.L. Kelley, General Topology [PWN, New York 1955] [4] Shao Juliang Li Deren, Digital Topological and Matrix Structured Image Processing, Wuhan Technical University of Surverying and Mapping, 39 Loyu Road, Wuhan 430070,P. R. China 17th ISPRS Congres, Comm. ill , Washington D. C. [5] Vladimir Kovalevsky, Axiomatic Digital Topology, J Math Imaging Vis 26: 41–58, (2006)

Copyright

Copyright © 2023 R Buvaneswari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.