Retractions of One Dimensional Manifold

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References

[1] A. E. El-Ahmady, “The Variation of the Density Functions on Chaotic Spheres in Chaotic Space-Like Minkowski Space Time,” Chaos, Solitons and Fractals, Vol. 31, No. 5, 2007, pp. 1272-1278.
doi:10.1016/j.chaos.2005.10.112

[2] A. E. El-Ahmady, “Folding of Fuzzy Hypertori and Their Retractions,” Proc. Math. Phys. Soc. Egypt, Vol. 85, No. 1, 2007, pp. 1-10.

[3] A. E. El-Ahmady, “Limits of Fuzzy Retractions of Fuzzy Hyperspheres and Their Foldings,” Tamkang Journal of Mathematics, Vol. 37, No. 1, 2006, pp. 47-55.

[4] A. E. El-Ahmady, “Retraction of Chaotic Black Hole,” The Journal of Fuzzy Mthematics, Vol. 19, No. 4, 2011, pp. 833-838.

[5] A. E. El-Ahmady, “Fuzzy Folding of Fuzzy Horocycle,” Circolo Matematico di Palermo Serie II, Tomo L III, 2004, pp. 443-450. doi:10.1007/BF02875737

[6] A. E. El-Ahmady, “Fuzzy Lobachevskian Space and Its Folding,” The Journal of Fuzzy Mathematics, Vol. 12, No. 2, 2004, pp. 609-614.

[7] A. E. El-Ahmady, “The Deformation Retract and Topological Folding of Buchdahi Space,” Periodica Mathematica Hungarica, Vol. 28, No. 1, 1994, pp. 19-30.
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[8] A. E. El-Ahmady and H. Rafat, “Retraction of Chaotic Ricci Space,” Chaos, Solutions and Fractals, Vol. 41, 2009, pp. 394-400. Hdoi:10.1016/j.chaos.2008.01.010

[9] A. E. El-Ahmady and H. Rafat, “A Calculation of Geodesics in Chaotic Flat Space and Its Folding,” Chaos, Solutions and Fractals, Vol. 30, 2006, pp. 836-844.
Hdoi:10.1016/j.chaos.2005.05.033

[10] A. E. El-Ahmady and H. M. Shamara, “Fuzzy Deformation Retract of Fuzzy Horospheres,” Indian Journal of Pure and Applied Mathematics, Vol. 32, No. 10, 2001, pp. 1501-1506.

[11] A. E. El-Ahmady and A. El-Araby, “On Fuzzy Spheres in Fuzzy Minkowski Space,” Nuovo Cimento, Vol. 125B, 2010.

[12] M. Arkowitz, “Introduction to Homotopy Theory,” Springer-Village, New York, 2011.

[13] G. L. Naber, “Topology, Geometry and Gauge Fields,” Foundations, Springer, New York, 2011.

[14] G. L. Naber, “Topology, Geometry and Gauge Fields,” Interactions, Springer, New York, 2011.

[15] M. Reid and B. Szendroi, “Topology and Geometry,” Cambridge, New York, 2005.
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[16] P. l. Shick, “Topology: Point-Set and Geometry,” Wiley, New York, 2007. doi:10.1002/9781118031582

[17] J. Strom, “Modern Classical Homotopy Theory,” American Mathematical Society, 2011.