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Izvestiya: Mathematics, 2009, Volume 73, Issue 3, Pages 611–626
DOI: https://doi.org/10.1070/IM2009v073n03ABEH002458 (Mi im2706) 		 
Densities of topological invariants of quasi-periodic subanalytic sets

A. I. Èsterov

Independent University of Moscow
English version PDF (553 kB) Russian version article
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DOI: https://doi.org/10.1070/IM2009v073n03ABEH002458
Abstract: We establish the existence of the densities of the Betti numbers and torsions of closed quasi-periodic subanalytic sets. In the course of the proof, we introduce the notion of a uniformly subanalytic set, which is useful when estimating the densities of topological invariants.
Keywords: quasi-periodic topology, quasi-periodic function, transversal volume, ergodic theory.
Received: 16.07.2007
Bibliographic databases:
UDC: 515.142.324+519.218.84+515.171.5
MSC: 32B20, 55R65, 58K65
Language: English
Original paper language: Russian
Citation: A. I. Èsterov, “Densities of topological invariants of quasi-periodic subanalytic sets”, Izv. Math., 73:3 (2009), 611–626
Citation in format AMSBIB
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:197
    English version PDF:11
    References:64
    First page:6
     
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