×

La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie. (French) Zbl 0213.25202


MSC:

57R70 Critical points and critical submanifolds in differential topology
57R50 Differential topological aspects of diffeomorphisms
58A35 Stratified sets
57N80 Stratifications in topological manifolds
PDFBibTeX XMLCite
Full Text: DOI Numdam EuDML

References:

[1] F. Bruhat, Sur les représentations induites des groupes de Lie,Bull. Soc. Math. France,84 (1956), 97–205. · Zbl 0074.10303
[2] J. Cerf, Topologie de certains espaces de plongements,Bull. Soc. Math. France,89 (1961), 227–380. · Zbl 0101.16001
[3] J. Cerf, Sur les difféomorphismes de la sphère de dimension trois,Lecture Notes in Math.,53, Springer, 1968. · Zbl 0164.24502
[4] J. Cerf,C. R. Congrès Int. Math., Moscou, 1966, 429–437.
[5] J. Cerf etA. Gramain,Le théorème du h-cobordisme, Paris, Ecole Normale Supérieure, 1968 (multigraphié).
[6] A. Chenciner etF. Laudenbach, Théorie de Smale à 1 paramètre dans le cas non simplement connexe,C. R. Acad. Sc. (Paris), série A,270 (1970), 176 et 307. · Zbl 0185.27405
[7] J. F. P. Hudson, Concordance and isotopy,Bull. Amer. Math. Soc.,72 (1966), 534–535. · Zbl 0147.23603
[8] J. F. P. Hudson,Piecewise linear topology, Benjamin, 1969. · Zbl 0189.54507
[9] J. Mather, Stability of Cmappings: I. The Division theorem,Ann. of Math.,87 (1968), 89–104. · Zbl 0159.24902
[10] , Stability of Cmappings: II. Infinitesimal stability implies stability,Ann. of Math.,89 (1969), 254–291. · Zbl 0177.26002
[11] J. Mather, Stability of Cmappings: III. Finitely determined map-germs,Publ. Math. I.H.E.S.,35 (1968). · Zbl 0159.25001
[12] J. Mather, Stability of Cmappings: IV. Classification of stable germs by R-algebras, à paraître auxPubl. Math. I.H.E.S.
[13] J. Milnor,Lectures on the h-cobordism theorem, Princeton, Math. Notes (1965). · Zbl 0161.20302
[14] J. Milnor,Notes on algebraic K-theory, Princeton, 1968 (multigraphié).
[15] C. Morlet,Plongements et automorphismes de variétés, Paris, Collège de France, 1969 (multigraphié). · Zbl 0189.54804
[16] S. P. Novikov, Homotopy properties of the group of diffeomorphisms of the sphere,Dokl. Akad. Nauk SSSR,148 (1963), 32–35. · Zbl 0139.41201
[17] Séminaire H. Cartan, 9e année (1956–1957), Quelques questions de topologie (multigraphié).
[18] L. Siebenmann, Peripheral invariants for pseudo-isotopies,Notices Amer. Math. Soc.,14 (1967), 852.
[19] L. Siebenmann, Torsion invariants for pseudo-isotopies on closed manifolds,Notices Amer. Math. Soc.,14 (1967), 942.
[20] J.-C. Tougeron, Stabilité des applications différentiables (d’après J. Mather),Séminaire Bourbaki,336 (1967) (multigraphié).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.