Nature log-analytique du volume des sous-analytiques

Comte, G.; Lion, J. -M; Rolin, J. -P

Illinois J. Math., Tome 44 (2000) no. 4, p. 884-888 / Harvested from Project Euclid

Résumé

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.

Publié le : 2000-12-15
Classification: 32B20, 14P15, 51M25

@article{1255984698,
     author = {Comte, G. and Lion, J. -M and Rolin, J. -P},
     title = {Nature log-analytique du volume des sous-analytiques},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 884-888},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/1255984698}
}

Comte, G.; Lion, J. -M; Rolin, J. -P. Nature log-analytique du volume des sous-analytiques. Illinois J. Math., Tome 44 (2000) no. 4, pp.  884-888. http://gdmltest.u-ga.fr/item/1255984698/