Simplexes in normed space

Authors

  • Vladimir V. Makeev St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation;

DOI:

https://doi.org/10.21638/11701/spbu01.2016.204

Abstract

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References

Литература

1. Dvoretzky A. Some results on convex bodies and Banach spaces // Proc. Internat. Sympos. Linear Spaces. Jerusalem, 1960; Pergamon, Oxford, 1961.

2. Petty C. Equilateral sets in Minkovski spaces // Proc. Amer. Math. Soc. Vol. 29, N 2. 1971. P. 369-374.

3. Burago Y.D., Ivanov S.V., Tabachnikov S.L. Topological aspects of Dvoretzky Theorem // J. of Topology and Analysis. 2010. Vol. 02, N 04. P. 453-467.

4. Макеев В.В. Плоские сечения выпуклых тел и универсальные расслоения // Зап. научн. семинаров ПОМИ. 2001. Т. 280. C. 219-233.

References

1. Dvoretzky A., “Some results on convex bodies and Banach spaces”, Proc. Internat. Sympos. Linear Spaces (Jerusalem, 1960; Pergamon, Oxford, 1961).

2. Petty C., “Equilateral sets in Minkovski spaces”, Proc. Amer. Math. Soc. 27(2), 369–374 (1971).

3. Burago Y.D., Ivanov S.V., Tabachnikov S. L., “Topological aspects of Dvoretzky Theorem”, J. of Topology and Analysis 02(04), 453–467 (2010).

4. Makeev V.V., “Planar sections of convex bodies and universal fibrations”, Zapiski Nauchnyh Seminarov POMI 280, 219–233 (2001) [in Russian].

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Published

2020-10-19

How to Cite

Makeev, V. V. (2020). Simplexes in normed space. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 3(2), 1. https://doi.org/10.21638/11701/spbu01.2016.204

Issue

Vol. 3 No. 2 (2016)

Section

Mathematics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.