Systems of sets with multiplicative asymptotic density |
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| Authors: | Pavel Jahoda Monika Pěluchová |
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| Institution: | (1) Department of Applied Mathematics, Technical University of Ostrava, 17. listopadu 15/2172, CZ-708 33 Ostrava-Poruba, Czech Republic;(2) Department of Mathematics, University of Ostrava, Dvořákova 7, CZ-701 03 Ostrava, Czech Republic |
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| Abstract: | The authors define a notion of system of sets with multiplicative asymptotic density in this paper. A criterion and one necessary
condition for a given system {A
i
}
i=1∞ to be a system with multiplicative asymptotic density is given. Properties of certain special types of systems of sets with
multiplicative asymptotic density are treated.
This work is supported by The Ministry of Education, Youth and Sports of the Czech Republic. Project CQR 1M06047. |
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| Keywords: | asymptotic density |
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