Geodesic
Densities of topological invariants of quasi-periodic subanalytic sets
Izvestiya. Mathematics , Tome 73 (2009) no. 3, pp. 611-626

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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, ergodic theory.
Mots-clés : transversal volume 
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     author = {A. I. \`Esterov},
     title = {Densities of topological invariants of quasi-periodic subanalytic sets},
     journal = {Izvestiya. Mathematics },
     pages = {611--626},
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     number = {3},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2009_73_3_a6/}
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A. I. Èsterov. Densities of topological invariants of quasi-periodic subanalytic sets. Izvestiya. Mathematics , Tome 73 (2009) no. 3, pp. 611-626. http://geodesic.mathdoc.fr/item/IM2_2009_73_3_a6/