On Density and Independence of Sets

[1] BUCK, R. CREIGHTON: The measure theoretic approach to density,Amer. J. Math. 68 (1946), 560–580. Search in Google Scholar

[2] DRMOTA, M.—TICHY, R. F.: Sequences, Discrepancies and Applications. Springer-Verlag, Berlin, Heidelberg, 1997. Search in Google Scholar

[3] GREKOS, G.: On various definitions of density (a survey), Tatra Mt. Math. Publ. 31 (2005), 17–27. Search in Google Scholar

[4] GREKOS, G.: The density set: (a survey), Tatra Mt. Math. Publ. 31 (2005), 103–111. Search in Google Scholar

[5] JAHODA, P.—JAHODOVÁ, M.: Systems of conditionally independent sets, Math. Slovaca 67 (2017), no. 3, 593–600. Search in Google Scholar

[6] JAHODA, P.—JAHODOVÁ, M.: On systems of independent sets, Math. Slovaca 65 (2015), no. 1, 33–44. Search in Google Scholar

[7] JAHODA, P.—PĚLUCHOVÁ, M.: Systems of sets with multiplicative asymptotic density, Math. Slovaca 58 (2008), no. 4, 394–404. Search in Google Scholar

[8] KUIPERS, L.—NIEDERREITER, H.: Uniform Distribution of Sequences. John Wiley and Sons, N. Y., London, Sydney, Toronto, 1974. Search in Google Scholar

[9] NIVEN, I.: The asymptotic density of sequences, Bull. Am. Math. Soc. 57 (1951), 420–434. Search in Google Scholar

[10] PAŠTÉKA, M.: A note about the submeasures and Fermat last theorem, Ricerche Mat. 43 (1994), no. 1, 79–90. Search in Google Scholar

[11] PAŠTÉKA, M.—TICHY, R.: Measurable sequences, Riv. Mat. Univ. Parma (N.S.) 10 (2019), no. 1, 63–84. Search in Google Scholar

[12] STRAUCH, O.—PORUBSKÝ,Š.: Distribution of Sequences: a Sampler.Schr. Slowak. Akad. Wiss. Vol. 1. [Series of the Slovak Academy of Sciences], Peter Lang, Frankfurt am Main, 2005. Search in Google Scholar

[13] STRAUCH, O.: Distribution of Sequences a Theory. VEDA, Bratislava, Academia, Prague, 2019. Search in Google Scholar

[14] WEYL, H.:Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann, 77 (1916), 313–352. Search in Google Scholar