Manifolds of smooth maps
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1978)
- Volume: 19, Issue: 1, page 47-78
- ISSN: 1245-530X
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topMichor, P.. "Manifolds of smooth maps." Cahiers de Topologie et Géométrie Différentielle Catégoriques 19.1 (1978): 47-78. <http://eudml.org/doc/91194>.
@article{Michor1978,
author = {Michor, P.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {1},
pages = {47-78},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Manifolds of smooth maps},
url = {http://eudml.org/doc/91194},
volume = {19},
year = {1978},
}
TY - JOUR
AU - Michor, P.
TI - Manifolds of smooth maps
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1978
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 19
IS - 1
SP - 47
EP - 78
LA - eng
UR - http://eudml.org/doc/91194
ER -
References
top- 1 F. Berquier, Calcul différentiel dans les modules quasi-topologiques. Variétés différentiables. Esquisses Mathématiques24, Amiens (1976). Zbl0352.58001
- 2 C. Bessaga and A. Pelczynski, Selected topics in infinite dimensional topology, Polish Scientific Publishers, 1975. Zbl0304.57001MR478168
- 3 H. Cartan, Topologie différentielle, Séminaire E. N. S. Paris (1961- 62).
- 4 J. Dieudonne, Foundations of modern Analysis I, Academic Press, 1969. Zbl0176.00502MR349288
- 5 M. Golubitsky and V. Guillemin, Stable mappings and their singularities, Springer G.T.M. 14, 1973. Zbl0294.58004MR341518
- 6 J. Horvath, Topological vector spaces and distributions I, Addison-Wesley. Zbl0143.15101
- 7 H.H. Keller, Differential calculus in locally convex spaces, Lecture Notes in Math. 417, Springer (1974). Zbl0293.58001MR440592
- 8 J.A. Leslie, On a differentiable structure for the group of diffeomorphisms, Topology6 (1967), 263-271. Zbl0147.23601MR210147
- 9 J. Mather, Stability of C∞-mappings: II, Infinitesimal stability implies stability, Annals of Math.89 (1969), 254-291. Zbl0177.26002
Citations in EuDML Documents
top- P. Michor, Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold
- P. Michor, Manifolds of smooth maps III : the principal bundle of embeddings of a non-compact smooth manifold
- Peter Michor, A convenient setting for differential geometry and global analysis
- P. Michor, Manifolds of smooth maps IV : theorem of De Rham
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