References
Aroca, J.M., Hironaka, H., Vicente, J.L.: Desingularization theorems. Mem. Mat. Inst. Jorge Juan No. 30, Madrid: Consejo Superior de Investigaciones Cientificas 1977
Bierstone, E., Milman, P.D.: Semianalytic and subanalytic sets. Publ. Math., Inst. Hautes Etud. Sci.67, 5–42 (1988)
Bierstone, E., Milman, P.D.: Uniformization of analytic spaces. J. Am. Math. Soc.2, 801–836 (1989)
Grauert, H., Remmert, R.: Analytische Stellenalgebren. Springer: Berlin Heidelberg New York: 1971
Hardt, R.M.: Stratification of real analytic mappings and images. Invent. Math.28, 193–208 (1975)
Hironaka, H.: Resolution of singularities of an algebraic variety over a field of characteristic zero: I, II. Ann Math. (2)79, 109–326 (1964)
Hironaka, H.: Introduction to real-analytic sets and real-analytic maps. Pisa: Istituto Matematico “L. Tonelli” 1973
Kuo, T.-C.: On classification of real singularities. Invent. Math.82, 257–262 (1985)
Kurdyka, K.: Ensembles semi-algébriques symétriques par arcs. Math. Ann.282, 445–462 (1988)
Milman, P.D.: The Malgrange-Mather division theorem. Topology16, 395–401 (1977)
Sussmann, H.J.: Real analytic desingularization and subanalytic sets: an elementary approach. Trans. Am. Math. Soc. (to appear)
Author information
Authors and Affiliations
Additional information
Research partially supported by NSERC operating grant OGP 0009070
Research partially supported by NSERC operating grant A8849
Oblatum 6-VI-1989
Rights and permissions
About this article
Cite this article
Bierstone, E., Milman, P.D. Arc-analytic functions. Invent Math 101, 411–424 (1990). https://doi.org/10.1007/BF01231509
Issue Date:
DOI: https://doi.org/10.1007/BF01231509