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Advanced prerequisite for E-infinity theory

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  • El Naschie, M. Saladin

Abstract

This is the third of a series of papers written with the primary aim of communicating necessary theoretical background knowledge required for an in-depth study of E-infinity theory. Compared to the previous two papers [El Naschie MS. Elementary prerequisites for E-infinity (Recommended background readings in nonlinear dynamics, geometry and topology). Chaos, Solitons & Fractals 2006;30(3):579–605; El Naschie MS. Intermediate prerequisites for E-infinity theory. Chaos, Solitons & Fractals 2006;30(3):622–8], the present one may be described as advanced.

Suggested Citation

  • El Naschie, M. Saladin, 2006. "Advanced prerequisite for E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 636-641.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:3:p:636-641
    DOI: 10.1016/j.chaos.2006.04.044
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    References listed on IDEAS

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    1. El Naschie, M.S., 2005. "On a class of fuzzy Kähler-like manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 257-261.
    2. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    3. El Naschie, M.S., 2006. "Holographic dimensional reduction: Center manifold theorem and E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 816-822.
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    Cited by:

    1. Saniga, Metod & Planat, Michel, 2008. "On the fine structure of the projective line over GF(2)⊗GF(2)⊗GF(2)," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 337-345.
    2. Nasef, Arafa A. & Hatir, E., 2009. "On fuzzy pre-I-open sets and a decomposition of fuzzy I-continuity," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1185-1189.
    3. Yao, K. & Liang, Y.S. & Zhang, F., 2009. "On the connection between the order of the fractional derivative and the Hausdorff dimension of a fractal function," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2538-2545.
    4. Yao, K. & Liang, Y.S. & Fang, J.X., 2008. "The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 106-115.
    5. He, Ji-Huan & Wan, Yu-Qin & Xu, Lan, 2007. "Nano-effects, quantum-like properties in electrospun nanofibers," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 26-37.
    6. Yuksel, S. & Gursel Caylak, E. & Acikgoz, A., 2009. "On fuzzy α-I-continuous and fuzzy α-I-open functions," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1691-1696.
    7. Chen, Qingjiang & Cao, Huaixin & Shi, Zhi, 2009. "Construction and decomposition of biorthogonal vector-valued wavelets with compact support," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2765-2778.
    8. El Naschie, M.S., 2008. "Exact non-perturbative derivation of gravity’s G¯4 fine structure constant, the mass of the Higgs and elementary black holes," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 346-359.
    9. Saniga, Metod & Planat, Michel & Kibler, Maurice R. & Pracna, Petr, 2007. "A classification of the projective lines over small rings," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1095-1102.
    10. Liang, Y.S. & Su, W.Y., 2007. "The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 682-692.
    11. Agop, M. & Radu, Cristina & Bontas, T., 2008. "El Naschie’s ε(∞) space–time and scale relativity theory in the topological dimension D=3," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1243-1253.
    12. Agop, M. & Murgulet, C., 2007. "El Naschie’s ε(∞) space–time and scale relativity theory in the topological dimension D=4," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1231-1240.
    13. El Naschie, M.S., 2008. "Fuzzy knot theory interpretation of Yang–Mills instantons and Witten’s 5-Brane model," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1349-1354.
    14. Zahran, A.M. & Abbas, S.E. & Abd El-baki, S.A. & Saber, Y.M., 2009. "Decomposition of fuzzy continuity and fuzzy ideal continuity via fuzzy idealization," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3064-3077.

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