Finite determinacy and topological triviality. II : sufficient conditions and topological stability

James Damon

Compositio Mathematica (1982)

  • Volume: 47, Issue: 2, page 101-132
  • ISSN: 0010-437X

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Damon, James. "Finite determinacy and topological triviality. II : sufficient conditions and topological stability." Compositio Mathematica 47.2 (1982): 101-132. <http://eudml.org/doc/89562>.

@article{Damon1982,
author = {Damon, James},
journal = {Compositio Mathematica},
keywords = {versal unfolding; finite A-determinacy; stability of unfoldings},
language = {eng},
number = {2},
pages = {101-132},
publisher = {Martinus Nijhoff Publishers},
title = {Finite determinacy and topological triviality. II : sufficient conditions and topological stability},
url = {http://eudml.org/doc/89562},
volume = {47},
year = {1982},
}

TY - JOUR
AU - Damon, James
TI - Finite determinacy and topological triviality. II : sufficient conditions and topological stability
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 47
IS - 2
SP - 101
EP - 132
LA - eng
KW - versal unfolding; finite A-determinacy; stability of unfoldings
UR - http://eudml.org/doc/89562
ER -

References

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  1. [1] A. Beauville: Une Notion de Residu en Géométrie Analytique, Seminaire P. Lelong (1969/1970). Springer Lecture Notes205 (1971) 183-203. Zbl0236.32004MR437796
  2. [2] J. Damon: Finite determinacy and topological triviality I, Invent. Math.62 (1980) 299-324. Zbl0489.58003MR595590
  3. [3] J. Damon: Classification of discrete algebra types, preprint. 
  4. [4] A D. PLESSIS: On the determinacy of smooth map germs. Invent. Math.58 (1980) 107-160. Zbl0446.58004MR570877
  5. [5] T. Gaffney: A note on the order of determination of a finitely determined germ. Invent. Math.52 (1979) 127-130. Zbl0419.58004MR536075
  6. [6] R. Hartshorne: Residues and duality. Springer Lecture Notes20 (1966). Zbl0212.26101MR222093
  7. [7] E. Looijenga: Semi-universal deformation of a simple elliptic singularity: Part I Uni-modularity. Topology16 (1977) 257-262. Zbl0373.32004MR450269
  8. [8] J. Mather: C∞ Stability of mappings III. Finitely determined map germs. Publ. Math. I.H.E.S.35 (1968) 127-156. Zbl0159.25001
  9. IV Classification of stable germs by R-algebras. Publ. Math. I.H.E.S.37 (1969) 223-248. Zbl0202.55102
  10. VI The nice dimensions, Liverpool Singularity Symposium, Springer Lecture Notes192 (1971) 207-253. Zbl0211.56105MR293670
  11. [9] J. Mather: How to Stratify Mappings and Jet Spaces, Singularities d'Applications Differentiables, Plans-sur-Bex1975, Springer Lecture Notes535128-176. Zbl0398.58008MR455018
  12. [10] J Mather and J. Damon: Book on singularities of mappings, in preparation. 
  13. [11] F Ronga: Une Application Topologiquement Stable qui ne peut pas être approachée par une Application Differentiablement Stable. C.R. Acad. Sci. Paris t287 (30 Oct 1978). Zbl0397.58009MR517487
  14. [12] C.T.C. Wall: Nets of conics. Proc. Camb. Phil. Soc.81 (1977) 351-364. Zbl0351.14032MR432666
  15. [13] K. Wirthmüller: Universell Topologisch Triviale Deformationen, Thesis, University of Regensburg. 

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