References
V. P. Maslov, Mat. Zametki [Math. Notes] 80(6), 856 (2006).
V. E. Saouma and C. C. Barton, J. Engrg. Mech. 120(4), 835 (1994).
R. V. Gol’dshtein and A. B. Mosolov, Prikl. Mat. Mekh. [J. Appl. Math. Mech.] 56(4), 663 (1992).
R. V. Gol’dshtein and A. B. Mosolov, Dokl. Ross. Akad. Nauk [Russian Acad. Sci. Dokl. Math.] 329(4), 429 (1993).
B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982; Inst. Komp’yuternykh Issledovanii, Moscow, 2002).
V. P. Maslov and P. P. Mosolov, Izv. Akad. Nauk SSSR Ser. Mat. [Math. USSR-Izv.] 42(5), 1063 (1978).
V. P. Maslov, Quantization of Thermodynamics and Ultrasecondary Quantization (Inst. Komp’ yuternykh Issledovanii, Moscow, 2001) [in Russian].
R. H. Dauskardt, F. Haubensak, and R. O. Ritchie, Acta Metallurgica Materialia 38, 143 (1990).
V. E. Saouma, C. C. Barton, and N. A. Gamabeldin, Engrg. Fracture Mech. 35, 47 (1990).
V. P. Maslov and P. P. Mosolov, Nonlinear Wave Equations Perturbed by Viscous Terms (Walter de Gruyter, Berlin, 2000).
Yu. I. Manin, “The notion of dimension in geometry and algebra,” arXiv: math. AG/0502016v1.
V. P. Maslov, Mat. Zametki [Math. Notes] 78(3), 377 (2005).
V. P. Maslov, Mat. Zametki [Math. Notes] 78(6), 870 (2005).
V. P. Maslov, Mat. Zametki [Math. Notes] 80(2), 220 (2006).
L. D. Landau and E. M. Lifshits, Quantum Mechanics (Nauka, Moscow, 1976) [in Russian].
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Original Russian Text © V. P. Maslov, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 1, pp. 157–160.
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Maslov, V.P. General notion of a topological space of negative dimension and quantization of its density. Math Notes 81, 140–144 (2007). https://doi.org/10.1134/S0001434607010166
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DOI: https://doi.org/10.1134/S0001434607010166