Density and stability of Morse functions on a stratified space

Roberto Pignoni

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1979)

  • Volume: 6, Issue: 4, page 593-608
  • ISSN: 0391-173X

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Pignoni, Roberto. "Density and stability of Morse functions on a stratified space." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 6.4 (1979): 593-608. <http://eudml.org/doc/83822>.

@article{Pignoni1979,
author = {Pignoni, Roberto},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {density and stability of Morse functions on a stratified space},
language = {eng},
number = {4},
pages = {593-608},
publisher = {Scuola normale superiore},
title = {Density and stability of Morse functions on a stratified space},
url = {http://eudml.org/doc/83822},
volume = {6},
year = {1979},
}

TY - JOUR
AU - Pignoni, Roberto
TI - Density and stability of Morse functions on a stratified space
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1979
PB - Scuola normale superiore
VL - 6
IS - 4
SP - 593
EP - 608
LA - eng
KW - density and stability of Morse functions on a stratified space
UR - http://eudml.org/doc/83822
ER -

References

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  1. [1] R. Benedetti, Density of Morse functions on a complex space, Math. Ann.229 (1977), pp. 135-139. Zbl0354.32027MR457765
  2. [2] E. Brieskorn, Examples of singular normal complex spaces which are topological manifolds, Proc. Nat. Acad. Sci. U.S.A., 55 (1966), pp. 1395-1397. Zbl0144.45001MR198497
  3. [3] F. Bruhat - H. Whitney, Quelques propriétés fondamentales des ensembles analytiques-réels, Comment. Math. Helv., 33 (1959), pp. 132-160. Zbl0100.08101MR102094
  4. [4] H. Cartan, Variétés analytiques réelles et variétés analytiques complexes, Bull, Soc. Math. France, 85 (1957), pp. 77-99. Zbl0083.30502MR94830
  5. [5] H. Hironaka, Introduction to real-analytic sets and real-analytic maps, Istituto « L. Tonelli », Pisa, 1973. MR477121
  6. [6] M. Hirsch, Differential topology, Springer, 1976. Zbl0356.57001MR448362
  7. [7] F. Lazzfri, Morse theory on singular spaces, Astérisque7 et 8, 1973. Zbl0307.57014
  8. [8] S. Łojasiewicz, Ensembles semi-analytiques, Preprint I.H.E.S., 1965. 
  9. [9] J. Mather, Notes on topological stability, Lecture Notes, Harvard University, 1970. 
  10. [10] J. Mather, Stratifications and mappings, Proceedings of the Dynamical Systems Conference, Salvador, Brazil, July 1971, Academic Press. Zbl0286.58003MR368064
  11. [11] J. Milnor, Morse theory, Princeton University Press, 1963. Zbl0108.10401MR163331
  12. [12] R. Narasimhan, Introduction to the theory of analytic spaces, Springer, 1966. Zbl0168.06003MR217337
  13. [13] H. Whitney, Tangents to an analytic variety, Ann. of Math., 81 (1965), pp. 496-549 Zbl0152.27701MR192520

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