Abstract
Using a preparation theorem for subanalytic functions and Lipschitz stratification for compact subanalytic sets we prove that volumes of slices of globally subanalytic sets and density have a log-analytic nature. We also prove that the set of parameters for which the volume of fiber is finite is globally subanalytic.
Citation
G. Comte. J. -M Lion. J. -P Rolin. "Nature log-analytique du volume des sous-analytiques." Illinois J. Math. 44 (4) 884 - 888, Winter 2000. https://doi.org/10.1215/ijm/1255984698
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