On combinatorial and set-theoretical aspects of some finite and infinite point sets

References

[1] M. Aigner and G. M. Ziegler, Proofs from The Book, 3rd ed., Springer, Berlin, 2004. 10.1007/978-3-662-05412-3Search in Google Scholar

[2] P. Erdös and Z. Füredi, The greatest angle among n points in the d-dimensional Euclidean space, Combinatorial Mathematics (Marseille-Luminy 1981), North-Holland Math. Stud. 75, North-Holland, Amsterdam (1983), 275–283. 10.1016/S0304-0208(08)73398-XSearch in Google Scholar

[3] A. Kharazishvili, A characterization of rt-sets in Euclidean spaces (in Russian), Soobshch. Akad. Nauk Gruzin. SSR 86 (1977), no. 3, 537–540. Search in Google Scholar

[4] A. Kharazishvili, Some properties of at-sets and ot-sets in a Hilbert space, Proc. A. Razmadze Math. Inst. 159 (2012), 147–151. Search in Google Scholar

[5] A. Kharazishvili, On the cardinalities of at-sets in a real Hilbert space, Georgian Math. J. 22 (2015), no. 2, 259–263. 10.1515/gmj-2015-0014Search in Google Scholar

[6] A. Kharazishvili and T. Tetunashvili, On some combinatorial problems concerning geometrical realizations of finite and infinite families of sets, Georgian Math. J. 15 (2008), no. 4, 665–675. 10.1515/GMJ.2008.665Search in Google Scholar

[7] A. Kharazishvili and T. Tetunashvili, Combinatorial properties of families of sets and Euler-Venn diagrams, Proc. A. Razmadze Math. Inst. 146 (2008), 115–119. Search in Google Scholar

[8] T. Tetunashvili, On the structure of constituents of finite independent families of convex bodies in R2 and R3 spaces, Trans. A. Razmadze Math. Inst. 172 (2018), no. 1, 115–125. 10.1016/j.trmi.2017.10.004Search in Google Scholar