Regular Level Sets of Averages of Nemytskiǐ Operators Are Contractible

Journal of Functional Analysis

Volumn 143, Issue 2, 1997, Pages 461-469

  Malta, Iaci ^a   Saldanha, Nicolau C ^b   Tomei, Carlos ^a  

^a PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b IMPA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031068343     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.2987     Document Type: Article

References (7)

1. 1. D. Burghelea and D. Henderson, Smoothings and homeomorphisms for Hilbert manifolds, Bull. Amer. Math. Soc. 76 (1970), 1261-1265.
2. 2. P. T. Church, E. N. Dancer, and J. G. Timourian, The structure of a nonlinear elliptic operator, Trans. Amer. Math. Soc. 338(1) (1993), 1-42.
3. 3. M. I. Kadec, A proof of the topological equivalence of all separable infinite-dimensional Banach spaces, Funkcional Anal. i Prilozen 1 (1967), 61-70.
4. 4. N. H. Kuiper, Variétés Hilbertiennes - Aspects Géométriques, Publications du Séminaire de Mathématiques Supérieures, No. 38, Les Presses de l'Université de Montreal, 1971.
5. 5. S. Lang, "Differentiable Manifolds," Addison-Wesley, Reading, MA, 1972.
6. 6. I. Malta, N. C. Saldanha, and C. Tomei, Morin singularities and global geometry in a class of ordinary differential operators, to appear.
7. 7. J. R. Stallings, On infinite processes leading to differentiability in the complement of a point, 245-254, in "Differentiable and Combinatorial Topology," a symposium in honor of Marston Morse (Ed.), pp. 245-254, S. S. Cairns, Princeton Univ. Press, Princeton, NJ, 1965.