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A note on the omega lemma

  • Sadayuki Yamamuro (a1)

Abstract

A class of locally convex spaces, a B-subfamily of finite order, is defined and the omega lemma for spaces belonging to this family is proved.

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References

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[1]Abraham, R., Lectures of Smale on differential topology (Columbia University, New York, 1962).
[2]Fischer, H.R., “Differentialrechnung in lokalkonvexen Räumen und Mannigfaltigkeiten von Abbildungenn” (Manuskripte d. Fakultät für Math, und Informatik, Univ. Mannheim, Mannheim [1977]).
[3]Gel'fand, I.M. and Shilov, G.E., Generalized functions. Volume 2. Spaces of fundamental and generalized functions (translated by Friedman, Morris D., Feinstein, Amiel, Peltzer, Christian P.. Academic Press, New York and London, 1968).
[4]Gutknecht, Jürg, “Die -Struktur auf der Diffeomorphismengruppe einer kompakten Mannigfaltigkeit” (Doctoral Dissertation, Eidgenössische Technische Hochschule, Zürich, 1977).
[5]Keller, H.H., Differential calculus in locally convex spaces (Lecture Notes in Mathematics, 417. Springer-Verlag, Berlin, Heidelberg, New York, 1974).
[6]Omori, Hideki, Infinite dimensional Lie transformation groups (Lecture Notes in Mathematics, 427. Springer-Verlag, Berlin, Heidelberg, New York, 1974).
[7]Yamamuro, Sadayuki, Differential calculus in topological linear spaces (Lecture Notes in Mathematics, 374. Springer-Verlag, Berlin, Heidelberg, New York, 1974).
[8]Yamamuro, Sadayuki, A theory of differentiation in locally convex spaces (Memoirs of the American Mathematical Society, 212. American Mathematical Society, Providence, Rhode Island, 1979).
[9]Yamamuro, Sadayuki, “A note on Omori-Lie groups”, Bull. Austral. Math. Soc. 19 (1978), 333349 (1979).
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A note on the omega lemma

  • Sadayuki Yamamuro (a1)

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