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This document is about a cell complex in number theory related to the Mertens function and properties of the prime number system. It summarizes that: 1) The Mertens function can be interpreted as the Euler characteristic of a simplicial complex of squarefree integers ordered by divisibility. 2) The paper studies the asymptotic behavior of the Betti numbers of this complex and shows certain estimates for their growth. 3) A related CW complex is constructed whose Euler characteristic is the summatory Lio

Author

Juan Rojas

Language

EN