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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 62 | Number 3 | Year 2018 | Article Id. IJMTT-V62P526 | DOI : https://doi.org/10.14445/22315373/IJMTT-V62P526

The Marcus Topology Coincides with the Quotient of Slapal's Topology


Annie kurien K, M.S.Samuel
Citation :

Annie kurien K, M.S.Samuel, "The Marcus Topology Coincides with the Quotient of Slapal's Topology," International Journal of Mathematics Trends and Technology (IJMTT), vol. 62, no. 3, pp. 184-187, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V62P526

Abstract

In this paper we study properties of Marcus topology and Slapal’s topology and the relation between them.

Keywords
Marcus topology, Slapal’s topology, quotient topology, 8-adjacent, 4- adjacent, T1/2-topology.
References

[1] Ulrich Echhardt and Longen J. Lalicki. Topologies for the digital spaces Z2 and Z3. Computer Vision and Image Understanding, 90:295–312, 2003.
[2] Gabor T. Herman. Geometry of digital spaces. Birkhauser, 1998.
[3] E. D. Khalimsky, R. Kopperman, and P. R. Meyer. Computer graphics and connected topologies on finite ordered sets. Topology Appl., 36:1–17, 1990.
[4] J. Slapal. Closure operations for digital topology. Theor. Comp. Sci., 305:457–471, 2003.
[5] J. Slapal. Digital Jordan curves. Topology Appl., 153(17):3255–3264, 2006.

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