Geodesic
General Notion of a Topological Space of Negative Dimension and Quantization of Its Density
Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 157-160.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: negative dimension, scale of compact spaces, quantization of densities.
Mots-clés : hole in equivalent scales, fractal 
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V. P. Maslov. General Notion of a Topological Space of Negative Dimension and Quantization of Its Density. Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 157-160. http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a15/

[1] V. P. Maslov, Matem. zametki, 80:6 (2006), 856–863 | MR | Zbl

[2] V. E. Saouma, C. C. Barton, J. Engrg. Mech., 120:4 (1994), 835–854 | DOI

[3] R. V. Goldshtein, A. B. Mosolov, PMM, 56:4 (1992), 563–571 | MR | Zbl

[4] R. V. Goldshtein, A. B. Mosolov, Dokl. RAN, 329:4 (1993), 429–431

[5] B. Mandelbrot, Fraktalnaya geometriya prirody, Institut kompyuternykh issledovanii, M., 2002

[6] V. P. Maslov, P. P. Mosolov, Izv. AN SSSR. Ser. matem., 42:5 (1978), 1063–1100 | MR | Zbl

[7] V. P. Maslov, Kvantovanie termodinamiki i ultravtorichnoe kvantovanie, Institut kompyuternykh issledovanii, M., 2001

[8] R. H. Dauskardt, F. Haubensak, R. O. Ritchie, Acta Metallurgica et Materialia, 38:2 (1990), 143–159 | DOI

[9] V. E. Saouma, C. C. Barton, N. A. Gamabeldin, Engrg. Fracture Mech., 35:1–3 (1990), 47–53 | DOI

[10] V. P. Maslov, P. P. Mosolov, Nonlinear Wave Equations Perturbed by Viscous Terms, Walter de Gruyter, Berlin–New York, 2000 | MR | Zbl

[11] Yu. I. Manin, “The notion of dimension in geometry and algebra”, Bull. Am. Math. Soc., New Ser., 43:2, 139–161 | DOI | MR | Zbl

[12] V. P. Maslov, Matem. zametki, 78:3 (2005), 377–395 | MR | Zbl

[13] V. P. Maslov, Matem. zametki, 78:6 (2005), 870–877 | MR | Zbl

[14] V. P. Maslov, Matem. zametki, 80:2 (2006), 220–230 | MR | Zbl

[15] L. D. Landau, E. M. Livshits, Kvantovaya mekhanika, Nauka, M., 1976 | MR | Zbl