C ∞ -diffeomorphismen semianalytischer und subanalytischer Mengen

Klaus Reichard

Compositio Mathematica (1980)

  • Volume: 42, Issue: 3, page 401-416
  • ISSN: 0010-437X

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Reichard, Klaus. "$C^\infty $-diffeomorphismen semianalytischer und subanalytischer Mengen." Compositio Mathematica 42.3 (1980): 401-416. <http://eudml.org/doc/89487>.

@article{Reichard1980,
author = {Reichard, Klaus},
journal = {Compositio Mathematica},
keywords = {semianalytic set; subanalytic set; embedding dimension; real affine spaces; real analytically diffeomorphic},
language = {ger},
number = {3},
pages = {401-416},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {$C^\infty $-diffeomorphismen semianalytischer und subanalytischer Mengen},
url = {http://eudml.org/doc/89487},
volume = {42},
year = {1980},
}

TY - JOUR
AU - Reichard, Klaus
TI - $C^\infty $-diffeomorphismen semianalytischer und subanalytischer Mengen
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 42
IS - 3
SP - 401
EP - 416
LA - ger
KW - semianalytic set; subanalytic set; embedding dimension; real affine spaces; real analytically diffeomorphic
UR - http://eudml.org/doc/89487
ER -

References

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  1. [1] M. Artin: On the solutions of analytic equations. Inv. Math.5 (1968) 277-291. Zbl0172.05301MR232018
  2. [2] T. Bloom: C' functions on a complex analytic variety. Duke Math. J.36 (1969) 283-296. Zbl0176.38102MR241688
  3. [3] P.M. Eakin and G.A. Harris: When Φ(f) convergent implies f is convergent. Math. Ann.229 (1977) 201-210. Zbl0355.13010
  4. [4] R. Ephraim: The cartesian product structure and C∞ equivalence of singularities. Trans AMS224 (1976) 299-311. Zbl0354.32006
  5. [5] A.M. Gabriélov: Formal relations between analytic functions. Funct. Anal. Appl.5 (1971) 318-319. Zbl0254.32009MR302930
  6. [6] H. Hironaka: Subanalytic sets. Number Theory, Alg. Geom. and Comm. Alg. in honour of Y. Akizuki, Tokyo (1973) 453-493. Zbl0297.32008MR377101
  7. [7] S. Lojasiewicz: Ensembles sémi-analytiques. polycopie. IHES (1965). 
  8. [8] B. Malgrange: Sur les fonctions différentiables et les ensembles analytiques. Bull. Soc. Math. France91 (1963) 113-127. Zbl0113.06302MR152673
  9. [9] B. Malgrange: Ideals of differentiable functions. Oxford University Press (1966). Zbl0177.17902MR212575
  10. [10] A. Sard: The measure of critical values of differentiable maps. Bull. AMS48 (1942) 883-890. Zbl0063.06720MR7523
  11. [11] K. Spallek: Über Singularitäten analytischer Mengen. Math. Ann.172 (1967) 249-268. Zbl0195.09401MR230925
  12. [12] K. Spallek: Differenzierbare Räume. Math. Ann.180 (1969) 269-296. Zbl0169.52901MR261035
  13. [13] K. Spallek: l-Platte Funktionen auf semianalytischen Mengen. Math. Ann.227 (1977) 277-286. Zbl0333.32025MR450630
  14. [14] J.C. Tougeron: Idéaux de fonctions différentiables. Erg. d. Math.71. Springer (1972). Zbl0251.58001MR440598

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