On Dislocated Metric Topology

Abstract

In this paper, we give a comment on the dislocated-neighbourhood systems due to Hitzler and Seda [1]. Also, we recover the open sets of the dislocated topology.

Share and Cite:

M. Ahmed, F. Zeyada and G. Hassan, "On Dislocated Metric Topology," International Journal of Modern Nonlinear Theory and Application, Vol. 2 No. 4, 2013, pp. 228-231. doi: 10.4236/ijmnta.2013.24032.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] P. Hitzler and A. K. Seda, “Dislocated Topologies,” Journal of Electrical Engineering, Vol. 51, No. 12, 2000, pp. 3-7.
[2] A. Batarekh and V. S. Subrahmanian, “Topological Model Set Deformations in Logic Programming,” Fundamenta Informaticae, Vol. 12, No. 3, 1998, pp. 357-400.
[3] M. S. El Naschie, “A Review of E-Infinity Theory and the Mass Spectrum of High Energy Particle Physics,” Chaos, Solitons and Fractals, Vol. 19, No. 1, 2004, pp. 209-236.
http://dx.doi.org/10.1016/S0960-0779(03)00278-9
[4] M. S. El Naschie, “The Idealized Quantum Two-Slit Gedanken Experiment Revisted-Criticism and Reinterpretation,” Chaos, Solitons and Fractals, Vol. 27, No. 1, 2006, pp. 9-13. http://dx.doi.org/10.1016/j.chaos.2005.05.010
[5] P. Hitzler, “Generalized Metrics and Topology in Logic Programming Semantics,” Ph.D. Thesis, National University of Ireland, University College, Cork, 2001.
[6] A. K. Seda, ‘Topology and the Semantics of Logic Programs,” Fundamenta Informaticae, Vol. 24, No. 4, 1995, pp. 359-386.
[7] S. G. Matthews, “Metric Domains for Completeness,” Ph.D. Thesis, University of Warwick, Warwick, 1986.

Copyright © 2022 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.