Manifolds of smooth maps IV : theorem of De Rham
Cahiers de topologie et géométrie différentielle, Tome 24 (1983) no. 1, pp. 57-86.
@article{CTGDC_1983__24_1_57_0,
     author = {Michor, P.},
     title = {Manifolds of smooth maps {IV} : theorem of {De} {Rham}},
     journal = {Cahiers de topologie et g\'eom\'etrie diff\'erentielle},
     pages = {57--86},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {24},
     number = {1},
     year = {1983},
     mrnumber = {702720},
     zbl = {0508.58012},
     language = {en},
     url = {http://archive.numdam.org/item/CTGDC_1983__24_1_57_0/}
}
TY  - JOUR
AU  - Michor, P.
TI  - Manifolds of smooth maps IV : theorem of De Rham
JO  - Cahiers de topologie et géométrie différentielle
PY  - 1983
SP  - 57
EP  - 86
VL  - 24
IS  - 1
PB  - Dunod éditeur, publié avec le concours du CNRS
UR  - http://archive.numdam.org/item/CTGDC_1983__24_1_57_0/
LA  - en
ID  - CTGDC_1983__24_1_57_0
ER  - 
%0 Journal Article
%A Michor, P.
%T Manifolds of smooth maps IV : theorem of De Rham
%J Cahiers de topologie et géométrie différentielle
%D 1983
%P 57-86
%V 24
%N 1
%I Dunod éditeur, publié avec le concours du CNRS
%U http://archive.numdam.org/item/CTGDC_1983__24_1_57_0/
%G en
%F CTGDC_1983__24_1_57_0
Michor, P. Manifolds of smooth maps IV : theorem of De Rham. Cahiers de topologie et géométrie différentielle, Tome 24 (1983) no. 1, pp. 57-86. http://archive.numdam.org/item/CTGDC_1983__24_1_57_0/

1 D. Burghelea, The rational homotopy groups of Diff(M) and Homeo (M) in the stability range, Lecture Notes in Math. 763, Springer (1979), 604 -626. | MR | Zbl

2 J. Dieudonne, Foundations of modern Analysis, I, Academic Press 1969. | MR | Zbl

3 E. Dubinsky, The structure of nuclear Fréchet spaces, Lecture Notes in Math. 720, Springer (1979). | MR | Zbl

4 D.B.A. Epstein,The simplicity of certain groups of homeomorphisms, Comp. Math. 22(1970), 165 -173. | EuDML | Numdam | MR | Zbl

5 I.M. G El' Fand & D.B. Fuks, Cohomology of the Lie algebra of tangent vector fields of a smooth manifold, Funct, Anal. Appl.: I: 3 (1969), 194; II: 4 (1970). | Zbl

6 R. Godement, Topologie a lgebriq ue et théorie des faisceaux, Hermann. | Zbl

7 W. Greub, S. Halperin & R. Vanstone Connections, Curvature, Cohomology I, II, III, Academic Press 1972, 1973, 1976. | MR

8 A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. A.M. S . 16 (1955). | MR | Zbl

9 H.H. Keller, Differential calculus in locally convex spaces, Lecture Notes in Math. 417, Springer (1974). | MR | Zbl

10 J. Mather, Commutators of diffeomoiphisms, Comm. Math. Helv., I: 49 (1974), 512-528; II: 50 (1975), 15 -26. | MR | Zbl

11 D. Mcduff, The homology of some groups of diffeomorphisms, Comm. Math. Helv. 55 (1980), 97-129. | MR | Zbl

12 E. Michael, Locally multiplicatively convex algebras, Mem. AMS 11 (1952). | MR | Zbl

13 P. Michor, Manifolds of smooth maps, Cahiers Top. et Geom. Diff.; I: XIX (1978), 47-78; II: XXI (1980), 63-86; III: Id. 325-337. | Numdam | MR | Zbl

14 P. Michor, Manifolds of differentiable mappings, Shiva Math. Ser. 3, Orpington, Kent, 1980. | MR | Zbl

15 H. Omori, On the group of diffeomorphisms of a compact manifold, Proc. Symp. Pure Math. XV., A. M. S. 1970, 167 -183. | MR | Zbl

16 J. Palais& S. Smale, Structural stability theorems, Proc. Symp. Pure Ma th. XIV, A. M. S. 1970, 223 -231. | MR | Zbl

17 N. Papaghiuc, Sur les formes différentielles dans les espaces localement convexes, le lemme de Pioncaré, Anal. Stiint. Iasi 23 (1977). | MR | Zbl

18 A. Pietsch, Nukleare lokalkonvexe Raume, Berlin 1955. | Zbl

19 H.H. Schafer, Topological vector spaces, Springer GTM 3, 1971. | Zbl

20 U. Seip, A convenient setting for differential calculus, J. PureAppl. Algebra 14 (1979), 73-100. | MR | Zbl

21 S. Smale, Diffeomorphisms of the 2-sphere, P roc. AMS 10 (1959), 621-626. | MR | Zbl

22 W. Thurston, Foliations and groups of diffeomorphisms Bull AMS 80 (1974). | MR | Zbl

23 M. Va Idivia, The space of distributions D' (Ω) is not Br-complete, Math. Ann. 211 (1974), 145-149. | EuDML | MR | Zbl