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We assign real numbers to finite sheeted coverings of compact CW complexes designed as finite counterparts to the Novikov–Shubin numbers. We prove an approximation theorem in the case of virtually cyclic fundamental groups employing methods from Diophantine approximation.
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Holger Kammeyer, Approximating Novikov–Shubin numbers of virtually cyclic coverings. Groups Geom. Dyn. 11 (2017), no. 4, pp. 1231–1251