Article PDF
Avoid common mistakes on your manuscript.
References
Federer, H.: Geometric measure theory. Berlin-Heidelberg-New York: Springer 1969
Giesecke, B.: Simpliziale Zerlegung abzählbarer analytischer Räume. Math. Z.83, 177–213 (1964)
Hardt, R.: Slicing and intersection theory for chains associated with real analytic varieties. Acta Math.129, 57–136 (1972)
Lojasiewicz, S.: Sur le problème de la division. Rozprawy Mathematyczne, No. 22, Warsaw, 1961
Lojaseiwicz, S.: Triangulation of semi-analytic sets. Annali Sc. Norm. Sup. Pisa, 5.3,18, 449–474 (1964)
Lojasiewicz, S.: Ensembles semianalytiques. Cours Faculté des Sciences d'Orsay, I.H.E.S. Buressur-Yvette, 1965
Lojasiewicz, S.: Une propriété topologique des sousensembles analytique reels. Editions du Centre National de la Recherche Scientifique [15, Quai Anatole-France, Paris] vol. 117, Les Equations aux Derivees Partielles pp. 87–89 (1962)
Mather, J.: Stratifications and mappings. Harvard University notes, 1971
Narashimhan, R.: Introduction to the theory of analytic spaces. New York: Springer 1966
Seidenberg, A.: A new decision method for elementary algebra. Ann. of Math.60, 365–374 (1954)
Thom, R.: Ensembles morphismes stratifiés. Bull. Amer. Math. Soc.75, 240–284 (1969)
Hironaka, H.: Subanalytic sets. Number Theory, Algebraic Geometry, and Commutative Algebra, in honor of Y. Akizuki, pp. 453–493. Tokyo: Kinokuniya Publications 1973
Hironaka, H.: Subanalytic sets. Lectures notes of Istituto matematico “Leonida Tonelli”, Pisa, 1973
Herrera, M.: Integration on a semianalytic set. Bull. Soc. Math. France94, 141–180 (1966)
Herrera, M.: DeRham theorems on semianalytic sets. Bull. Amer. Math. Soc.73, 414–418 (1967)
Bloom, T., Herrera, M.: DeRham cohomology of an analytic space. Inventions math.7, 275–296 (1969)
Hardt, R.: Homology theory for real semianalytic sets. to appear in Annali Sc. Norm. Sup. Pisa
Hardt, R.: Topological properties of subanalytic sets. Preprint
Author information
Authors and Affiliations
Additional information
Research partially supported by National Science Foundation grant GP 29321.
Rights and permissions
About this article
Cite this article
Hardt, R.M. Stratification of real analytic mappings and images. Invent Math 28, 193–208 (1975). https://doi.org/10.1007/BF01436073
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01436073