References
E. F. Beckenbach and R. Bellman, Inequalities, Springer-Verlag, Berlin–Göttingen–Heidelberg (1961).
N. Bourbaki, Elements of Mathematics: General Topology, Addison-Wesley (1966).
D. G. Pavlov and G. I. Garas’ko, “On the possibility of the realization of tringles in the threedimensional space with a scalar polyproduct,” Giperkompl. Chisla Geom. Fiz., 6, No. 1, 3–11 (2009).
V. A. Panchelyuga and S. E. Shnol’, “On the fractal structure of the space appearing in the study of the effect of local time,” Giperkompl. Chisla Geom. Fiz., 6, No. 1, 152–161 (2009).
A. Frölicher and W. Bucher, Calculus in Vector Spaces without Norms, Springer-Verlag, Berlin–Heidelberg–New York (1966).
R. R. Aidagulov and M. V. Shamolin, “Manifolds of continuous structures,” J. Math. Sci., 154, No. 4, 523–538 (2008).
T. Q. Binh, “Cartan type connections and connection sequences,” Publ. Math., 35, Nos. 3-4, 221–229 (1985).
A. Grey and L. M. Hervella, “The sixteen classes of almost Hermitian manifolds and their linear invariants,” Ann. Math. Pure Appl., 123, No. 4, 35–58 (1980).
M. Hashiguchi, “On generalized Finsler spaces,” An. Sti. Univ. Iasi. Sec. 1a, 30, No. 1, 69–73 (1984).
M. Hashiguchi, “Some topics on Finsler geometry,” Conf. Sem. Mat. Univ. Bari., 210 (1986)
S. Ikeda, “On the Finslerian metrical structures of the gravitational field,” An. Sti. Univ. Iasi. Sec. 1a, 30, No. 4, 35–38 (1984).
S. Ikeda, “Theory of fields in Finsler spaces,” Sem. Mec. Univ. Timisoara, No. 8, 1–43 (1988).
S. Ikeda, “On the theory of gravitational field in Finsler spaces,” Tensor, 50, No. 3, 256–262 (1991).
S. Kikuchi, “On metrical Finsler connections of generalized Finsler spaces,” in: Proc. 5th Nat. Sem. Finsler and Lagrange Spaces in Honour of 60th Birthday of Prof. Doct. Radu Miron, Brasov, February 10–15, 1988, Brasov (1989), pp. 197–206.
M. S. Knebelman, “Collineations and motions in generalized spaces,” Amer. J. Math., 51, 527–564 (1929).
M. Matsumoto, “On Einstein’s gravitational field equation in a tangent Riemannian space of a Finsler space,” Repts. Math. Phys., 8, No. 1, 103–108 (1975).
M. Matsumoto, Foundation of Finsler Geometry and Special Finsler Spaces, Kaiseisha Press (1986).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 88, Geometry and Mechanics, 2013.
Rights and permissions
About this article
Cite this article
Aidagulov, R.R., Shamolin, M.V. Topology on Polynumbers and Fractals. J Math Sci 204, 760–771 (2015). https://doi.org/10.1007/s10958-015-2215-x
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-015-2215-x